2057316892225 has 81 divisors (see below), whose sum is σ = 3003409941987. Its totient is φ = 1393898227680.

The previous prime is 2057316892219. The next prime is 2057316892237. The reversal of 2057316892225 is 5222986137502.

The square root of 2057316892225 is 1434335.

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

It can be written as a sum of positive squares in only one way, i.e., 740634081201 + 1316682811024 = 860601^2 + 1147468^2 .

It is not a de Polignac number, because 2057316892225 - 2²³ = 2057308503617 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5371584384 + ... + 5371584766.

Almost surely, 2^{2057316892225} is an apocalyptic number.

2057316892225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2057316892225 is the 1434335-th square number.

2057316892225 is the 717168-th centered octagonal number.

It is an amenable number.

2057316892225 is a deficient number, since it is larger than the sum of its proper divisors (946093049762).

2057316892225 is an frugal number, since it uses more digits than its factorization.

2057316892225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 52.

The spelling of 2057316892225 in words is "two trillion, fifty-seven billion, three hundred sixteen million, eight hundred ninety-two thousand, two hundred twenty-five".