253265615001 has 192 divisors, whose sum is σ = 473732928000. Its totient is φ = 130814853120.

The previous prime is 253265614997. The next prime is 253265615003. The reversal of 253265615001 is 100516562352.

253265615001 is a `hidden beast` number, since 2 + 5 + 32 + 6 + 5 + 615 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 253265615001 - 2² = 253265614997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (253265615003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 445106245 + ... + 445106813.

It is an arithmetic number, because the mean of its divisors is an integer number (2467359000).

Almost surely, 2^253265615001 is an apocalyptic number.

253265615001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

253265615001 is a deficient number, since it is larger than the sum of its proper divisors (220467312999).

253265615001 is a wasteful number, since it uses less digits than its factorization.

253265615001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 253265615001 in words is "two hundred fifty-three billion, two hundred sixty-five million, six hundred fifteen thousand, one".