252171005275008 has 192 divisors, whose sum is σ = 743013116052480. Its totient is φ = 82068504376320.

The previous prime is 252171005275003. The next prime is 252171005275043. The reversal of 252171005275008 is 800572500171252.

252171005275008 is a `hidden beast` number, since 2 + 5 + 2 + 1 + 71 + 0 + 0 + 527 + 50 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×252171005275008² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252171005275003) 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, 6541816 + ... + 23390967.

It is an arithmetic number, because the mean of its divisors is an integer number (3869859979440).

Almost surely, 2^{252171005275008} is an apocalyptic number.

It is an amenable number.

252171005275008 is an abundant number, since it is smaller than the sum of its proper divisors (490842110777472).

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

252171005275008 is a wasteful number, since it uses less digits than its factorization.

252171005275008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29932977 (or 29932962 counting only the distinct ones).

The product of its (nonzero) digits is 392000, while the sum is 45.

The spelling of 252171005275008 in words is "two hundred fifty-two trillion, one hundred seventy-one billion, five million, two hundred seventy-five thousand, eight".