1257164997 has 16 divisors (see below), whose sum is σ = 1829406720. Its totient is φ = 761583600.

The previous prime is 1257164989. The next prime is 1257165031. The reversal of 1257164997 is 7994617521.

1257164997 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1257164997 - 2³ = 1257164989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1257164927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82722 + ... + 96732.

It is an arithmetic number, because the mean of its divisors is an integer number (114337920).

Almost surely, 2^1257164997 is an apocalyptic number.

It is an amenable number.

1257164997 is a deficient number, since it is larger than the sum of its proper divisors (572241723).

1257164997 is a wasteful number, since it uses less digits than its factorization.

1257164997 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16744.

The product of its digits is 952560, while the sum is 51.

The square root of 1257164997 is about 35456.5226298350. The cubic root of 1257164997 is about 1079.2716273662.

The spelling of 1257164997 in words is "one billion, two hundred fifty-seven million, one hundred sixty-four thousand, nine hundred ninety-seven".