465125521564 has 24 divisors (see below), whose sum is σ = 900473486976. Its totient is φ = 208442934000.

The previous prime is 465125521543. The next prime is 465125521577.

465125521564 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74440782 + ... + 74447029.

It is an arithmetic number, because the mean of its divisors is an integer number (37519728624).

Almost surely, 2^465125521564 is an apocalyptic number.

465125521564 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

465125521564 is a deficient number, since it is larger than the sum of its proper divisors (435347965412).

465125521564 is a wasteful number, since it uses less digits than its factorization.

465125521564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148887897 (or 148887895 counting only the distinct ones).

The product of its digits is 1440000, while the sum is 46.

It can be divided in two parts, 465125 and 521564, that added together give a palindrome (986689).

The spelling of 465125521564 in words is "four hundred sixty-five billion, one hundred twenty-five million, five hundred twenty-one thousand, five hundred sixty-four".