253415515121520 has 80 divisors (see below), whose sum is σ = 787852039777920. Its totient is φ = 67382722922752.

The previous prime is 253415515121491. The next prime is 253415515121569. The reversal of 253415515121520 is 25121515514352.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×253415515121520² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1521383550 + ... + 1521550109.

It is an arithmetic number, because the mean of its divisors is an integer number (9848150497224).

Almost surely, 2^{253415515121520} is an apocalyptic number.

253415515121520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253415515121520 is an abundant number, since it is smaller than the sum of its proper divisors (534436524656400).

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

253415515121520 is a wasteful number, since it uses less digits than its factorization.

253415515121520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3042934022 (or 3042934016 counting only the distinct ones).

The product of its (nonzero) digits is 300000, while the sum is 42.

The spelling of 253415515121520 in words is "two hundred fifty-three trillion, four hundred fifteen billion, five hundred fifteen million, one hundred twenty-one thousand, five hundred twenty".