61938765625 has 63 divisors (see below), whose sum is σ = 85573494489. Its totient is φ = 44797500000.

The previous prime is 61938765599. The next prime is 61938765649. The reversal of 61938765625 is 52656783916.

The square root of 61938765625 is 248875.

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

It can be written as a sum of positive squares in 10 ways, for example, as 12448534329 + 49490231296 = 111573^2 + 222464^2 .

It is not a de Polignac number, because 61938765625 - 2¹⁵ = 61938732857 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 61938765625.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 342203035 + ... + 342203215.

Almost surely, 2^61938765625 is an apocalyptic number.

61938765625 is the 248875-th square number.

61938765625 is the 124438-th centered octagonal number.

It is an amenable number.

61938765625 is a deficient number, since it is larger than the sum of its proper divisors (23634728864).

61938765625 is an frugal number, since it uses more digits than its factorization.

61938765625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 197 counting only the distinct ones).

The product of its digits is 16329600, while the sum is 58.

The spelling of 61938765625 in words is "sixty-one billion, nine hundred thirty-eight million, seven hundred sixty-five thousand, six hundred twenty-five".