157319253 has 60 divisors (see below), whose sum is σ = 294501900. Its totient is φ = 82954368.

The previous prime is 157319249. The next prime is 157319263. The reversal of 157319253 is 352913751.

It can be written as a sum of positive squares in 2 ways, for example, as 20007729 + 137311524 = 4473^2 + 11718^2 .

It is not a de Polignac number, because 157319253 - 2² = 157319249 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157319243) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 50073 + ... + 53121.

It is an arithmetic number, because the mean of its divisors is an integer number (4908365).

Almost surely, 2^157319253 is an apocalyptic number.

157319253 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

157319253 is a deficient number, since it is larger than the sum of its proper divisors (137182647).

157319253 is a wasteful number, since it uses less digits than its factorization.

157319253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3088 (or 3072 counting only the distinct ones).

The product of its digits is 28350, while the sum is 36.

The square root of 157319253 is about 12542.6971979714. The cubic root of 157319253 is about 539.8344863111.

The spelling of 157319253 in words is "one hundred fifty-seven million, three hundred nineteen thousand, two hundred fifty-three".