157025961 has 9 divisors (see below), whose sum is σ = 226869591. Its totient is φ = 104658912.

The previous prime is 157025959. The next prime is 157025969. The reversal of 157025961 is 169520751.

The square root of 157025961 is 12531.

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

157025961 is a `hidden beast` number, since 1 + 570 + 25 + 9 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 145082025 + 11943936 = 12045^2 + 3456^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 157025961 - 2¹ = 157025959 is a prime.

It is not an unprimeable number, because it can be changed into a prime (157025969) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 35505 + ... + 39681.

Almost surely, 2^157025961 is an apocalyptic number.

157025961 is the 12531-st square number.

157025961 is the 6266-th centered octagonal number.

It is an amenable number.

157025961 is a deficient number, since it is larger than the sum of its proper divisors (69843630).

157025961 is an frugal number, since it uses more digits than its factorization.

157025961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8360 (or 4180 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The cubic root of 157025961 is about 539.4988045118.

Multiplying 157025961 by its sum of digits (36), we get a square (5652934596 = 75186²).

The spelling of 157025961 in words is "one hundred fifty-seven million, twenty-five thousand, nine hundred sixty-one".