157010100025 has 81 divisors (see below), whose sum is σ = 212559626061. Its totient is φ = 115031508480.

The previous prime is 157010100019. The next prime is 157010100053. The reversal of 157010100025 is 520001010751.

The square root of 157010100025 is 396245.

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

It can be written as a sum of positive squares in 4 ways, for example, as 5773112361 + 151236987664 = 75981^2 + 388892^2 .

It is not a de Polignac number, because 157010100025 - 2³ = 157010100017 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 157010099969 and 157010100005.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1618660777 + ... + 1618660873.

Almost surely, 2^157010100025 is an apocalyptic number.

157010100025 is the 396245-th square number.

157010100025 is the 198123-rd centered octagonal number.

It is an amenable number.

157010100025 is a deficient number, since it is larger than the sum of its proper divisors (55549526036).

157010100025 is an frugal number, since it uses more digits than its factorization.

157010100025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 22.

Adding to 157010100025 its reverse (520001010751), we get a palindrome (677011110776).

The spelling of 157010100025 in words is "one hundred fifty-seven billion, ten million, one hundred thousand, twenty-five".