61243875625 has 45 divisors (see below), whose sum is σ = 80925582243. Its totient is φ = 46327320000.

The previous prime is 61243875557. The next prime is 61243875647. The reversal of 61243875625 is 52657834216.

The square root of 61243875625 is 247475.

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

It can be written as a sum of positive squares in 7 ways, for example, as 56523636009 + 4720239616 = 237747^2 + 68704^2 .

It is not a de Polignac number, because 61243875625 - 2¹⁵ = 61243842857 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 117550365 + ... + 117550885.

Almost surely, 2^61243875625 is an apocalyptic number.

61243875625 is the 247475-th square number.

61243875625 is the 123738-th centered octagonal number.

It is an amenable number.

61243875625 is a deficient number, since it is larger than the sum of its proper divisors (19681706618).

61243875625 is an frugal number, since it uses more digits than its factorization.

61243875625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100 (or 545 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 49.

Multiplying 61243875625 by its sum of digits (49), we get a square (3000949905625 = 1732325²).

The spelling of 61243875625 in words is "sixty-one billion, two hundred forty-three million, eight hundred seventy-five thousand, six hundred twenty-five".