1257057025 has 27 divisors (see below), whose sum is σ = 1815032361. Its totient is φ = 861131040.

The previous prime is 1257057023. The next prime is 1257057041. The reversal of 1257057025 is 5207507521.

The square root of 1257057025 is 35455.

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 750266881 + 506790144 = 27391^2 + 22512^2 .

It is not a de Polignac number, because 1257057025 - 2¹ = 1257057023 is a prime.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1257057023) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1240419 + ... + 1241431.

Almost surely, 2^1257057025 is an apocalyptic number.

1257057025 is the 35455-th square number.

1257057025 is the 17728-th centered octagonal number.

It is an amenable number.

1257057025 is a deficient number, since it is larger than the sum of its proper divisors (557975336).

1257057025 is an frugal number, since it uses more digits than its factorization.

1257057025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2050 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 24500, while the sum is 34.

The cubic root of 1257057025 is about 1079.2407286238.

The spelling of 1257057025 in words is "one billion, two hundred fifty-seven million, fifty-seven thousand, twenty-five".