61568739230625 has 135 divisors (see below), whose sum is σ = 122164228102917. Its totient is φ = 29848371300000.

The previous prime is 61568739230611. The next prime is 61568739230683. The reversal of 61568739230625 is 52603293786516.

It is a happy number.

The square root of 61568739230625 is 7846575.

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

61568739230625 is a `hidden beast` number, since 6 + 1 + 568 + 7 + 3 + 9 + 2 + 3 + 0 + 62 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4826989155681 + 56741750074944 = 2197041^2 + 7532712^2 .

It is not a de Polignac number, because 61568739230625 - 2¹³ = 61568739222433 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 6473419620 + ... + 6473429130.

Almost surely, 2^{61568739230625} is an apocalyptic number.

61568739230625 is the 7846575-th square number.

61568739230625 is the 3923288-th centered octagonal number.

It is an amenable number.

61568739230625 is a deficient number, since it is larger than the sum of its proper divisors (60595488872292).

61568739230625 is an frugal number, since it uses more digits than its factorization.

61568739230625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19070 (or 9530 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 63.

The spelling of 61568739230625 in words is "sixty-one trillion, five hundred sixty-eight billion, seven hundred thirty-nine million, two hundred thirty thousand, six hundred twenty-five".