257061463101 has 24 divisors (see below), whose sum is σ = 376669203456. Its totient is φ = 168916514400.

The previous prime is 257061463081. The next prime is 257061463111. The reversal of 257061463101 is 101364160752.

257061463101 is a `hidden beast` number, since 2 + 5 + 7 + 0 + 6 + 14 + 631 + 0 + 1 = 666.

It is not a de Polignac number, because 257061463101 - 2²³ = 257053074493 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257061463111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 431365 + ... + 836778.

It is an arithmetic number, because the mean of its divisors is an integer number (15694550144).

Almost surely, 2^257061463101 is an apocalyptic number.

It is an amenable number.

257061463101 is a deficient number, since it is larger than the sum of its proper divisors (119607740355).

257061463101 is a wasteful number, since it uses less digits than its factorization.

257061463101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268473 (or 1268470 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 257061463101 in words is "two hundred fifty-seven billion, sixty-one million, four hundred sixty-three thousand, one hundred one".