253565040 has 40 divisors (see below), whose sum is σ = 786052368. Its totient is φ = 67617280.

The previous prime is 253564991. The next prime is 253565063. The reversal of 253565040 is 40565352.

253565040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 253564989 and 253565007.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 528021 + ... + 528500.

Almost surely, 2^253565040 is an apocalyptic number.

253565040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253565040 is an abundant number, since it is smaller than the sum of its proper divisors (532487328).

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

253565040 is a wasteful number, since it uses less digits than its factorization.

253565040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056537 (or 1056531 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The square root of 253565040 is about 15923.7256946985. The cubic root of 253565040 is about 632.9408488511.

The spelling of 253565040 in words is "two hundred fifty-three million, five hundred sixty-five thousand, forty".