257533751007 has 48 divisors (see below), whose sum is σ = 418691040768. Its totient is φ = 151350534720.

The previous prime is 257533751003. The next prime is 257533751023. The reversal of 257533751007 is 700157335752.

257533751007 is a `hidden beast` number, since 2 + 5 + 7 + 533 + 7 + 5 + 100 + 7 = 666.

It is not a de Polignac number, because 257533751007 - 2² = 257533751003 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257533751003) 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, 1622188 + ... + 1773854.

It is an arithmetic number, because the mean of its divisors is an integer number (8722730016).

Almost surely, 2^257533751007 is an apocalyptic number.

257533751007 is a deficient number, since it is larger than the sum of its proper divisors (161157289761).

257533751007 is a wasteful number, since it uses less digits than its factorization.

257533751007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152340 (or 152337 counting only the distinct ones).

The product of its (nonzero) digits is 771750, while the sum is 45.

The spelling of 257533751007 in words is "two hundred fifty-seven billion, five hundred thirty-three million, seven hundred fifty-one thousand, seven".