157002561 has 12 divisors (see below), whose sum is σ = 226921188. Its totient is φ = 104603904.

The previous prime is 157002533. The next prime is 157002611. The reversal of 157002561 is 165200751.

157002561 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 126697536 + 30305025 = 11256^2 + 5505^2 .

It is not a de Polignac number, because 157002561 - 2¹¹ = 157000513 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (157002061) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13561 + ... + 22313.

It is an arithmetic number, because the mean of its divisors is an integer number (18910099).

Almost surely, 2^157002561 is an apocalyptic number.

It is an amenable number.

157002561 is a deficient number, since it is larger than the sum of its proper divisors (69918627).

157002561 is a wasteful number, since it uses less digits than its factorization.

157002561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10752 (or 10749 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 157002561 is about 12530.0662807505. The cubic root of 157002561 is about 539.4720044865.

The spelling of 157002561 in words is "one hundred fifty-seven million, two thousand, five hundred sixty-one".