57151558818225 has 189 divisors, whose sum is σ = 110100558770449. Its totient is φ = 29414527531200.

The previous prime is 57151558818217. The next prime is 57151558818253. The reversal of 57151558818225 is 52281885515175.

The square root of 57151558818225 is 7559865.

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

57151558818225 is a `hidden beast` number, since 5 + 7 + 1 + 5 + 15 + 588 + 18 + 2 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 785579096241 + 56365979721984 = 886329^2 + 7507728^2 .

It is not a de Polignac number, because 57151558818225 - 2³ = 57151558818217 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 29596870510 + ... + 29596872440.

Almost surely, 2^{57151558818225} is an apocalyptic number.

57151558818225 is the 7559865-th square number.

57151558818225 is the 3779933-rd centered octagonal number.

It is an amenable number.

57151558818225 is a deficient number, since it is larger than the sum of its proper divisors (52948999952224).

57151558818225 is an frugal number, since it uses more digits than its factorization.

57151558818225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3948 (or 1968 counting only the distinct ones).

The product of its digits is 44800000, while the sum is 63.

The spelling of 57151558818225 in words is "fifty-seven trillion, one hundred fifty-one billion, five hundred fifty-eight million, eight hundred eighteen thousand, two hundred twenty-five".