1157257567 has 16 divisors (see below), whose sum is σ = 1239199360. Its totient is φ = 1077496992.

The previous prime is 1157257561. The next prime is 1157257573. The reversal of 1157257567 is 7657527511.

It is an interprime number because it is at equal distance from previous prime (1157257561) and next prime (1157257573).

It is a de Polignac number, because none of the positive numbers 2^k-1157257567 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1157257561) 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, 779608 + ... + 781090.

It is an arithmetic number, because the mean of its divisors is an integer number (77449960).

Almost surely, 2^1157257567 is an apocalyptic number.

1157257567 is a deficient number, since it is larger than the sum of its proper divisors (81941793).

1157257567 is a wasteful number, since it uses less digits than its factorization.

1157257567 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2182.

The product of its digits is 514500, while the sum is 46.

The square root of 1157257567 is about 34018.4886054628. The cubic root of 1157257567 is about 1049.8888973903. Note that the first 4 decimals are identical.

The spelling of 1157257567 in words is "one billion, one hundred fifty-seven million, two hundred fifty-seven thousand, five hundred sixty-seven".