152252253162117 has 12 divisors (see below), whose sum is σ = 221320685065740. Its totient is φ = 100854995724288.

The previous prime is 152252253162089. The next prime is 152252253162157. The reversal of 152252253162117 is 711261352252251.

It is a happy number.

152252253162117 is a `hidden beast` number, since 1 + 5 + 2 + 2 + 5 + 2 + 2 + 5 + 3 + 1 + 621 + 17 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 37385324837316 + 114866928324801 = 6114354^2 + 10717599^2 .

It is not a de Polignac number, because 152252253162117 - 2¹⁵ = 152252253129349 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152252253162157) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53875530492 + ... + 53875533317.

It is an arithmetic number, because the mean of its divisors is an integer number (18443390422145).

Almost surely, 2^{152252253162117} is an apocalyptic number.

It is an amenable number.

152252253162117 is a deficient number, since it is larger than the sum of its proper divisors (69068431903623).

152252253162117 is a wasteful number, since it uses less digits than its factorization.

152252253162117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107751063972 (or 107751063969 counting only the distinct ones).

The product of its digits is 504000, while the sum is 45.

The spelling of 152252253162117 in words is "one hundred fifty-two trillion, two hundred fifty-two billion, two hundred fifty-three million, one hundred sixty-two thousand, one hundred seventeen".