61739825625 has 45 divisors (see below), whose sum is σ = 111472660299. Its totient is φ = 32917968000.

The previous prime is 61739825611. The next prime is 61739825647. The reversal of 61739825625 is 52652893716.

The square root of 61739825625 is 248475.

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

61739825625 is a `hidden beast` number, since 6 + 1 + 7 + 3 + 9 + 8 + 2 + 5 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 17569237401 + 44170588224 = 132549^2 + 210168^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 61739825625 - 2¹¹ = 61739823577 is a prime.

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, 18633969 + ... + 18637281.

Almost surely, 2^61739825625 is an apocalyptic number.

61739825625 is the 248475-th square number.

61739825625 is the 124238-th centered octagonal number.

It is an amenable number.

61739825625 is a deficient number, since it is larger than the sum of its proper divisors (49732834674).

61739825625 is an frugal number, since it uses more digits than its factorization.

61739825625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6652 (or 3321 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

It can be divided in two parts, 61739 and 825625, that added together give a square (887364 = 942²).

The spelling of 61739825625 in words is "sixty-one billion, seven hundred thirty-nine million, eight hundred twenty-five thousand, six hundred twenty-five".