61617610525 has 72 divisors (see below), whose sum is σ = 84950645400. Its totient is φ = 44278640640.

The previous prime is 61617610517. The next prime is 61617610529. The reversal of 61617610525 is 52501671616.

It can be written as a sum of positive squares in 36 ways, for example, as 43639627801 + 17977982724 = 208901^2 + 134082^2 .

It is not a de Polignac number, because 61617610525 - 2³ = 61617610517 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61617610529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14166051 + ... + 14170399.

It is an arithmetic number, because the mean of its divisors is an integer number (1179870075).

Almost surely, 2^61617610525 is an apocalyptic number.

It is an amenable number.

61617610525 is a deficient number, since it is larger than the sum of its proper divisors (23333034875).

61617610525 is a wasteful number, since it uses less digits than its factorization.

61617610525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4483 (or 4461 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 40.

The spelling of 61617610525 in words is "sixty-one billion, six hundred seventeen million, six hundred ten thousand, five hundred twenty-five".