10055075625 has 135 divisors (see below), whose sum is σ = 21223435233. Its totient is φ = 4572540000.

The previous prime is 10055075617. The next prime is 10055075647. The reversal of 10055075625 is 52657055001.

It is a happy number.

The square root of 10055075625 is 100275.

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

10055075625 is a `hidden beast` number, since 10 + 0 + 550 + 75 + 6 + 25 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 788317929 + 9266757696 = 28077^2 + 96264^2 .

It is not a de Polignac number, because 10055075625 - 2³ = 10055075617 is a prime.

It is a super-2 number, since 2×10055075625² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10055075625.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 52644280 + ... + 52644470.

Almost surely, 2^10055075625 is an apocalyptic number.

10055075625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10055075625 is the 100275-th square number.

10055075625 is the 50138-th centered octagonal number.

It is an amenable number.

10055075625 is an abundant number, since it is smaller than the sum of its proper divisors (11168359608).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10055075625 is an frugal number, since it uses more digits than its factorization.

10055075625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 52500, while the sum is 36.

Multiplying 10055075625 by its sum of digits (36), we get a square (361982722500 = 601650²).

The spelling of 10055075625 in words is "ten billion, fifty-five million, seventy-five thousand, six hundred twenty-five".