56408625025 has 9 divisors (see below), whose sum is σ = 69948167593. Its totient is φ = 45125950000.

The previous prime is 56408624969. The next prime is 56408625073. The reversal of 56408625025 is 52052680465.

The square root of 56408625025 is 237505.

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

It can be written as a sum of positive squares in 4 ways, for example, as 137194369 + 56271430656 = 11713^2 + 237216^2 .

It is not a de Polignac number, because 56408625025 - 2⁹ = 56408624513 is a prime.

It is a super-2 number, since 2×56408625025² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1163775 + ... + 1211275.

Almost surely, 2^56408625025 is an apocalyptic number.

56408625025 is the 237505-th square number.

56408625025 is the 118753-rd centered octagonal number.

It is an amenable number.

56408625025 is a deficient number, since it is larger than the sum of its proper divisors (13539542568).

56408625025 is an frugal number, since it uses more digits than its factorization.

56408625025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95012 (or 47506 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 43.

The spelling of 56408625025 in words is "fifty-six billion, four hundred eight million, six hundred twenty-five thousand, twenty-five".