656261506125 has 48 divisors (see below), whose sum is σ = 1203072062400. Its totient is φ = 344073794400.

The previous prime is 656261506123. The next prime is 656261506129. The reversal of 656261506125 is 521605162656.

656261506125 is a `hidden beast` number, since 6 + 5 + 6 + 2 + 615 + 0 + 6 + 1 + 25 = 666.

656261506125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 656261506125 - 2¹ = 656261506123 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (656261506123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4877215 + ... + 5009964.

It is an arithmetic number, because the mean of its divisors is an integer number (25064001300).

Almost surely, 2^656261506125 is an apocalyptic number.

It is an amenable number.

656261506125 is a deficient number, since it is larger than the sum of its proper divisors (546810556275).

656261506125 is a wasteful number, since it uses less digits than its factorization.

656261506125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9887259 (or 9887246 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

It can be divided in two parts, 65626 and 1506125, that added together give a palindrome (1571751).

The spelling of 656261506125 in words is "six hundred fifty-six billion, two hundred sixty-one million, five hundred six thousand, one hundred twenty-five".