253908097632 has 120 divisors (see below), whose sum is σ = 853413389136. Its totient is φ = 72545165568.

The previous prime is 253908097631. The next prime is 253908097673. The reversal of 253908097632 is 236790809352.

It is a happy number.

253908097632 is a `hidden beast` number, since 2 + 539 + 0 + 8 + 0 + 9 + 76 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253908097631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6978883 + ... + 7015170.

Almost surely, 2^253908097632 is an apocalyptic number.

It is an amenable number.

253908097632 is an abundant number, since it is smaller than the sum of its proper divisors (599505291504).

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

253908097632 is a wasteful number, since it uses less digits than its factorization.

253908097632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13994082 (or 13994065 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 253908097632 in words is "two hundred fifty-three billion, nine hundred eight million, ninety-seven thousand, six hundred thirty-two".