1257516864 has 42 divisors (see below), whose sum is σ = 3604446690. Its totient is φ = 419172096.

The previous prime is 1257516859. The next prime is 1257516889. The reversal of 1257516864 is 4686157521.

1257516864 is a `hidden beast` number, since 1 + 2 + 57 + 516 + 86 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 911556864 + 345960000 = 30192^2 + 18600^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1091019 + ... + 1092170.

Almost surely, 2^1257516864 is an apocalyptic number.

It is an amenable number.

1257516864 is an abundant number, since it is smaller than the sum of its proper divisors (2346929826).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1257516864 is a wasteful number, since it uses less digits than its factorization.

1257516864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2183207 (or 2183194 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The square root of 1257516864 is about 35461.4842328970. The cubic root of 1257516864 is about 1079.3723101580.

The spelling of 1257516864 in words is "one billion, two hundred fifty-seven million, five hundred sixteen thousand, eight hundred sixty-four".