53038776 has 128 divisors (see below), whose sum is σ = 164160000. Its totient is φ = 14224896.

The previous prime is 53038771. The next prime is 53038781. The reversal of 53038776 is 67783035.

53038776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (53038771) and next prime (53038781).

It is a super-2 number, since 2×53038776² = 5626223519156352, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53038771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139755 + ... + 140133.

It is an arithmetic number, because the mean of its divisors is an integer number (1282500).

Almost surely, 2^53038776 is an apocalyptic number.

53038776 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53038776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82080000).

53038776 is an abundant number, since it is smaller than the sum of its proper divisors (111121224).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

53038776 is a wasteful number, since it uses less digits than its factorization.

53038776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 39.

The square root of 53038776 is about 7282.7725489679. The cubic root of 53038776 is about 375.7201592143.

The spelling of 53038776 in words is "fifty-three million, thirty-eight thousand, seven hundred seventy-six".