157306513 has 24 divisors (see below), whose sum is σ = 201683328. Its totient is φ = 121546656.

The previous prime is 157306507. The next prime is 157306519. The reversal of 157306513 is 315603751.

It is an interprime number because it is at equal distance from previous prime (157306507) and next prime (157306519).

It is not a de Polignac number, because 157306513 - 2⁵ = 157306481 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157306519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24520 + ... + 30262.

It is an arithmetic number, because the mean of its divisors is an integer number (8403472).

Almost surely, 2^157306513 is an apocalyptic number.

157306513 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

157306513 is a deficient number, since it is larger than the sum of its proper divisors (44376815).

157306513 is a wasteful number, since it uses less digits than its factorization.

157306513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5813 (or 5806 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 31.

The square root of 157306513 is about 12542.1893224429. The cubic root of 157306513 is about 539.8199136574.

The spelling of 157306513 in words is "one hundred fifty-seven million, three hundred six thousand, five hundred thirteen".