253921536 has 216 divisors, whose sum is σ = 820755936. Its totient is φ = 74833920.

The previous prime is 253921531. The next prime is 253921561. The reversal of 253921536 is 635129352.

It is a super-2 number, since 2×253921536² = 128952292889198592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 253921536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253921531) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1089676 + ... + 1089908.

It is an arithmetic number, because the mean of its divisors is an integer number (3799796).

Almost surely, 2^253921536 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 253921536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410377968).

253921536 is an abundant number, since it is smaller than the sum of its proper divisors (566834400).

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

253921536 is a wasteful number, since it uses less digits than its factorization.

253921536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 292 counting only the distinct ones).

The product of its digits is 48600, while the sum is 36.

The square root of 253921536 is about 15934.9156257572. The cubic root of 253921536 is about 633.2373345416.

The spelling of 253921536 in words is "two hundred fifty-three million, nine hundred twenty-one thousand, five hundred thirty-six".