61590830625 has 75 divisors (see below), whose sum is σ = 115075096213. Its totient is φ = 32818662000.

The previous prime is 61590830617. The next prime is 61590830641. The reversal of 61590830625 is 52603809516.

The square root of 61590830625 is 248175.

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

61590830625 is a `hidden beast` number, since 6 + 1 + 590 + 8 + 30 + 6 + 25 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4828721121 + 56762109504 = 69489^2 + 238248^2 .

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

It is not a de Polignac number, because 61590830625 - 2³ = 61590830617 is a prime.

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

It is a Duffinian number.

It is an unprimeable number.

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 74 ways as a sum of consecutive naturals, for example, 55838824 + ... + 55839926.

Almost surely, 2^61590830625 is an apocalyptic number.

61590830625 is the 248175-th square number.

61590830625 is the 124088-th centered octagonal number.

It is an amenable number.

61590830625 is a deficient number, since it is larger than the sum of its proper divisors (53484265588).

61590830625 is an frugal number, since it uses more digits than its factorization.

61590830625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2238 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 61590830625 in words is "sixty-one billion, five hundred ninety million, eight hundred thirty thousand, six hundred twenty-five".