252120482691 has 128 divisors (see below), whose sum is σ = 465910824960. Its totient is φ = 117249897600.

The previous prime is 252120482641. The next prime is 252120482749. The reversal of 252120482691 is 196284021252.

252120482691 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 252120482691 - 2¹⁰ = 252120481667 is a prime.

It is not an unprimeable number, because it can be changed into a prime (252120482611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8363556 + ... + 8393646.

It is an arithmetic number, because the mean of its divisors is an integer number (3639928320).

Almost surely, 2^252120482691 is an apocalyptic number.

252120482691 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

252120482691 is a deficient number, since it is larger than the sum of its proper divisors (213790342269).

252120482691 is a wasteful number, since it uses less digits than its factorization.

252120482691 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30237.

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 252120482691 in words is "two hundred fifty-two billion, one hundred twenty million, four hundred eighty-two thousand, six hundred ninety-one".