257153663097 has 48 divisors (see below), whose sum is σ = 388871496000. Its totient is φ = 163546411392.

The previous prime is 257153663059. The next prime is 257153663101. The reversal of 257153663097 is 790366351752.

257153663097 is a `hidden beast` number, since 2 + 5 + 71 + 536 + 6 + 30 + 9 + 7 = 666.

It is not a de Polignac number, because 257153663097 - 2⁶ = 257153663033 is a prime.

It is a super-2 number, since 2×257153663097² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (257153663047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7317354 + ... + 7352412.

It is an arithmetic number, because the mean of its divisors is an integer number (8101489500).

Almost surely, 2^257153663097 is an apocalyptic number.

It is an amenable number.

257153663097 is a deficient number, since it is larger than the sum of its proper divisors (131717832903).

257153663097 is a wasteful number, since it uses less digits than its factorization.

257153663097 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35430 (or 35427 counting only the distinct ones).

The product of its (nonzero) digits is 7144200, while the sum is 54.

The spelling of 257153663097 in words is "two hundred fifty-seven billion, one hundred fifty-three million, six hundred sixty-three thousand, ninety-seven".