152525264142033 has 24 divisors (see below), whose sum is σ = 220720870424808. Its totient is φ = 101495887460352.

The previous prime is 152525264142001. The next prime is 152525264142067. The reversal of 152525264142033 is 330241462525251.

152525264142033 is a `hidden beast` number, since 1 + 5 + 2 + 5 + 2 + 5 + 26 + 414 + 203 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 31619669720769 + 120905594421264 = 5623137^2 + 10995708^2 .

It is not a de Polignac number, because 152525264142033 - 2⁵ = 152525264142001 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 152525264142033.

It is not an unprimeable number, because it can be changed into a prime (152525264142833) 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, 44745091 + ... + 48033047.

It is an arithmetic number, because the mean of its divisors is an integer number (9196702934367).

Almost surely, 2^{152525264142033} is an apocalyptic number.

It is an amenable number.

152525264142033 is a deficient number, since it is larger than the sum of its proper divisors (68195606282775).

152525264142033 is a wasteful number, since it uses less digits than its factorization.

152525264142033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3297473 (or 3297470 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 152525264142033 in words is "one hundred fifty-two trillion, five hundred twenty-five billion, two hundred sixty-four million, one hundred forty-two thousand, thirty-three".