253064159952 has 80 divisors (see below), whose sum is σ = 695791895040. Its totient is φ = 78981267456.

The previous prime is 253064159951. The next prime is 253064160053. The reversal of 253064159952 is 259951460352.

It is a super-2 number, since 2×253064159952² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 253064159895 and 253064159904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253064159951) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 645952 + ... + 960927.

It is an arithmetic number, because the mean of its divisors is an integer number (8697398688).

Almost surely, 2^253064159952 is an apocalyptic number.

It is an amenable number.

253064159952 is an abundant number, since it is smaller than the sum of its proper divisors (442727735088).

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

253064159952 is a wasteful number, since it uses less digits than its factorization.

253064159952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1607100 (or 1607094 counting only the distinct ones).

The product of its (nonzero) digits is 2916000, while the sum is 51.

The spelling of 253064159952 in words is "two hundred fifty-three billion, sixty-four million, one hundred fifty-nine thousand, nine hundred fifty-two".