61253136 has 90 divisors (see below), whose sum is σ = 199434222. Its totient is φ = 17498880.

The previous prime is 61253099. The next prime is 61253147. The reversal of 61253136 is 63135216.

It can be written as a sum of positive squares in only one way, i.e., 58430736 + 2822400 = 7644^2 + 1680^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2716 + ... + 11396.

Almost surely, 2^61253136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61253136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99717111).

61253136 is an abundant number, since it is smaller than the sum of its proper divisors (138181086).

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

61253136 is a wasteful number, since it uses less digits than its factorization.

61253136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8709 (or 8693 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 61253136 is about 7826.4382703756. The cubic root of 61253136 is about 394.1934854945.

It can be divided in two parts, 6125 and 3136, that added together give a cube (9261 = 21³).

The spelling of 61253136 in words is "sixty-one million, two hundred fifty-three thousand, one hundred thirty-six".