465157125 has 48 divisors (see below), whose sum is σ = 841839024. Its totient is φ = 247104000.

The previous prime is 465157103. The next prime is 465157153. The reversal of 465157125 is 521751564.

465157125 is a `hidden beast` number, since 4 + 65 + 1 + 571 + 25 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 194686209 + 270470916 = 13953^2 + 16446^2 .

It is not a de Polignac number, because 465157125 - 2⁵ = 465157093 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 465157125.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 351465 + ... + 352785.

It is an arithmetic number, because the mean of its divisors is an integer number (17538313).

Almost surely, 2^465157125 is an apocalyptic number.

465157125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

465157125 is a deficient number, since it is larger than the sum of its proper divisors (376681899).

465157125 is a wasteful number, since it uses less digits than its factorization.

465157125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1655 (or 1642 counting only the distinct ones).

The product of its digits is 42000, while the sum is 36.

The square root of 465157125 is about 21567.5015938333. The cubic root of 465157125 is about 774.8183410509.

It can be divided in two parts, 4651 and 57125, that added together give a triangular number (61776 = T₃₅₁).

The spelling of 465157125 in words is "four hundred sixty-five million, one hundred fifty-seven thousand, one hundred twenty-five".