61357767025 has 27 divisors (see below), whose sum is σ = 76967574411. Its totient is φ = 48522437040.

The previous prime is 61357766969. The next prime is 61357767103. The reversal of 61357767025 is 52076775316.

The square root of 61357767025 is 247705.

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

61357767025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 22088796129 + 39268970896 = 148623^2 + 198164^2 .

It is not a de Polignac number, because 61357767025 - 2¹⁵ = 61357734257 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 61357767025.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 132521944 + ... + 132522406.

Almost surely, 2^61357767025 is an apocalyptic number.

61357767025 is the 247705-th square number.

61357767025 is the 123853-rd centered octagonal number.

It is an amenable number.

61357767025 is a deficient number, since it is larger than the sum of its proper divisors (15609807386).

61357767025 is an frugal number, since it uses more digits than its factorization.

61357767025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 1852200, while the sum is 49.

Multiplying 61357767025 by its sum of digits (49), we get a square (3006530584225 = 1733935²).

The spelling of 61357767025 in words is "sixty-one billion, three hundred fifty-seven million, seven hundred sixty-seven thousand, twenty-five".