252755078201136 has 180 divisors, whose sum is σ = 826265359978344. Its totient is φ = 71916085785600.

The previous prime is 252755078201123. The next prime is 252755078201137. The reversal of 252755078201136 is 631102870557252.

252755078201136 is a `hidden beast` number, since 2 + 5 + 2 + 7 + 550 + 7 + 82 + 0 + 1 + 1 + 3 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (252755078201137) 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 35 ways as a sum of consecutive naturals, for example, 72617550 + ... + 76018541.

Almost surely, 2^{252755078201136} is an apocalyptic number.

It is an amenable number.

252755078201136 is an abundant number, since it is smaller than the sum of its proper divisors (573510281777208).

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

252755078201136 is a wasteful number, since it uses less digits than its factorization.

252755078201136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148636360 (or 148636344 counting only the distinct ones).

The product of its (nonzero) digits is 7056000, while the sum is 54.

The spelling of 252755078201136 in words is "two hundred fifty-two trillion, seven hundred fifty-five billion, seventy-eight million, two hundred one thousand, one hundred thirty-six".