57741687025 has 81 divisors (see below), whose sum is σ = 83928814627. Its totient is φ = 39369932800.

The previous prime is 57741687023. The next prime is 57741687043. The reversal of 57741687025 is 52078614775.

The square root of 57741687025 is 240295.

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

It can be written as a sum of positive squares in 13 ways, for example, as 47568609 + 57694118416 = 6897^2 + 240196^2 .

It is not a de Polignac number, because 57741687025 - 2¹ = 57741687023 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (57741687023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 224675697 + ... + 224675953.

Almost surely, 2^57741687025 is an apocalyptic number.

57741687025 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

57741687025 is the 240295-th square number.

57741687025 is the 120148-th centered octagonal number.

It is an amenable number.

57741687025 is a deficient number, since it is larger than the sum of its proper divisors (26187127602).

57741687025 is a wasteful number, since it uses less digits than its factorization.

57741687025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 3292800, while the sum is 52.

The spelling of 57741687025 in words is "fifty-seven billion, seven hundred forty-one million, six hundred eighty-seven thousand, twenty-five".