10145525625 has 135 divisors (see below), whose sum is σ = 19702373691. Its totient is φ = 5028192000.

The previous prime is 10145525623. The next prime is 10145525657. The reversal of 10145525625 is 52652554101.

The square root of 10145525625 is 100725.

It is a perfect power (a square), and thus also a powerful number.

10145525625 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 5 + 5 + 25 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 4954611321 + 5190914304 = 70389^2 + 72048^2 .

It is not a de Polignac number, because 10145525625 - 2¹ = 10145525623 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10145525625.

It is not an unprimeable number, because it can be changed into a prime (10145525623) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 128424336 + ... + 128424414.

Almost surely, 2^10145525625 is an apocalyptic number.

10145525625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10145525625 is the 100725-th square number.

10145525625 is the 50363-rd centered octagonal number.

It is an amenable number.

10145525625 is a deficient number, since it is larger than the sum of its proper divisors (9556848066).

10145525625 is an frugal number, since it uses more digits than its factorization.

10145525625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

Multiplying 10145525625 by its sum of digits (36), we get a square (365238922500 = 604350²).

The spelling of 10145525625 in words is "ten billion, one hundred forty-five million, five hundred twenty-five thousand, six hundred twenty-five".