157965707601 has 135 divisors (see below), whose sum is σ = 264955454379. Its totient is φ = 93747090528.

The previous prime is 157965707579. The next prime is 157965707623. The reversal of 157965707601 is 106707569751.

The square root of 157965707601 is 397449.

It is a perfect power (a square), and thus also a powerful number.

157965707601 is a `hidden beast` number, since 1 + 5 + 7 + 9 + 6 + 570 + 7 + 60 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (157965707579) and next prime (157965707623).

It can be written as a sum of positive squares in only one way, i.e., 23367708225 + 134597999376 = 152865^2 + 366876^2 .

It is not a de Polignac number, because 157965707601 - 2⁵ = 157965707569 is a prime.

It is not an unprimeable number, because it can be changed into a prime (157965706601) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1999565880 + ... + 1999565958.

Almost surely, 2^157965707601 is an apocalyptic number.

157965707601 is the 397449-th square number.

157965707601 is the 198725-th centered octagonal number.

It is an amenable number.

157965707601 is a deficient number, since it is larger than the sum of its proper divisors (106989746778).

157965707601 is an frugal number, since it uses more digits than its factorization.

157965707601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 2778300, while the sum is 54.

The spelling of 157965707601 in words is "one hundred fifty-seven billion, nine hundred sixty-five million, seven hundred seven thousand, six hundred one".