157910953 has 2 divisors, whose sum is σ = 157910954. Its totient is φ = 157910952.

The previous prime is 157910891. The next prime is 157910981. The reversal of 157910953 is 359019751.

157910953 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 118635664 + 39275289 = 10892^2 + 6267^2 .

It is a cyclic number.

It is not a de Polignac number, because 157910953 - 2¹³ = 157902761 is a prime.

It is a super-3 number, since 3×157910953³ (a number of 26 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (157910353) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 78955476 + 78955477.

It is an arithmetic number, because the mean of its divisors is an integer number (78955477).

Almost surely, 2^157910953 is an apocalyptic number.

It is an amenable number.

157910953 is a deficient number, since it is larger than the sum of its proper divisors (1).

157910953 is an equidigital number, since it uses as much as digits as its factorization.

157910953 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 42525, while the sum is 40.

The square root of 157910953 is about 12566.2624912899. The cubic root of 157910953 is about 540.5104375648.

The spelling of 157910953 in words is "one hundred fifty-seven million, nine hundred ten thousand, nine hundred fifty-three".