20156900625 has 75 divisors (see below), whose sum is σ = 37686337293. Its totient is φ = 10733310000.

The previous prime is 20156900593. The next prime is 20156900651. The reversal of 20156900625 is 52600965102.

The square root of 20156900625 is 141975.

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

20156900625 is a `hidden beast` number, since 20 + 1 + 5 + 6 + 9 + 0 + 0 + 625 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1580301009 + 18576599616 = 39753^2 + 136296^2 .

It is a tau number, because it is divible by the number of its divisors (75).

It is not a de Polignac number, because 20156900625 - 2⁵ = 20156900593 is a prime.

It is a super-2 number, since 2×20156900625² (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 20156900625.

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 31944060 + ... + 31944690.

Almost surely, 2^20156900625 is an apocalyptic number.

20156900625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

20156900625 is the 141975-th square number.

20156900625 is the 70988-th centered octagonal number.

It is an amenable number.

20156900625 is a deficient number, since it is larger than the sum of its proper divisors (17529436668).

20156900625 is an frugal number, since it uses more digits than its factorization.

20156900625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1294 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

Multiplying 20156900625 by its sum of digits (36), we get a square (725648422500 = 851850²).

Multiplying 20156900625 by its product of nonzero digits (32400), we get a square (653083580250000 = 25555500²).

The spelling of 20156900625 in words is "twenty billion, one hundred fifty-six million, nine hundred thousand, six hundred twenty-five".