54767700625 has 135 divisors (see below), whose sum is σ = 80820568983. Its totient is φ = 37069560000.

The previous prime is 54767700623. The next prime is 54767700653. The reversal of 54767700625 is 52600776745.

The square root of 54767700625 is 234025.

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

It can be written as a sum of positive squares in 7 ways, for example, as 18184252801 + 36583447824 = 134849^2 + 191268^2 .

It is not a de Polignac number, because 54767700625 - 2¹ = 54767700623 is a prime.

It is not an unprimeable number, because it can be changed into a prime (54767700623) 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, 1480208107 + ... + 1480208143.

Almost surely, 2^54767700625 is an apocalyptic number.

54767700625 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

54767700625 is the 234025-th square number.

54767700625 is the 117013-rd centered octagonal number.

It is an amenable number.

54767700625 is a deficient number, since it is larger than the sum of its proper divisors (26052868358).

54767700625 is an equidigital number, since it uses as much as digits as its factorization.

54767700625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 2469600, while the sum is 49.

Multiplying 54767700625 by its sum of digits (49), we get a square (2683617330625 = 1638175²).

It can be divided in two parts, 5476 and 7700625, that multiplied together give a square (42168622500 = 205350²).

The spelling of 54767700625 in words is "fifty-four billion, seven hundred sixty-seven million, seven hundred thousand, six hundred twenty-five".