152105315031 has 24 divisors (see below), whose sum is σ = 222672720816. Its totient is φ = 100038556800.

The previous prime is 152105315023. The next prime is 152105315093. The reversal of 152105315031 is 130513501251.

152105315031 is a `hidden beast` number, since 1 + 52 + 1 + 0 + 531 + 50 + 31 = 666.

It is not a de Polignac number, because 152105315031 - 2³ = 152105315023 is a prime.

It is a super-2 number, since 2×152105315031² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 152105314986 and 152105315004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152105315231) 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, 378411 + ... + 668883.

It is an arithmetic number, because the mean of its divisors is an integer number (9278030034).

Almost surely, 2^152105315031 is an apocalyptic number.

152105315031 is a deficient number, since it is larger than the sum of its proper divisors (70567405785).

152105315031 is a wasteful number, since it uses less digits than its factorization.

152105315031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291263 (or 291260 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 27.

Adding to 152105315031 its reverse (130513501251), we get a palindrome (282618816282).

The spelling of 152105315031 in words is "one hundred fifty-two billion, one hundred five million, three hundred fifteen thousand, thirty-one".