257263710632532 has 72 divisors (see below), whose sum is σ = 650426010343200. Its totient is φ = 85738679195328.

The previous prime is 257263710632527. The next prime is 257263710632561. The reversal of 257263710632532 is 235236017362752.

257263710632532 is a `hidden beast` number, since 2 + 5 + 7 + 2 + 6 + 3 + 71 + 0 + 6 + 32 + 532 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6012639243 + ... + 6012682029.

It is an arithmetic number, because the mean of its divisors is an integer number (9033694588100).

Almost surely, 2^{257263710632532} is an apocalyptic number.

It is an amenable number.

257263710632532 is an abundant number, since it is smaller than the sum of its proper divisors (393162299710668).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

257263710632532 is a wasteful number, since it uses less digits than its factorization.

257263710632532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69845 (or 69840 counting only the distinct ones).

The product of its (nonzero) digits is 19051200, while the sum is 54.

The spelling of 257263710632532 in words is "two hundred fifty-seven trillion, two hundred sixty-three billion, seven hundred ten million, six hundred thirty-two thousand, five hundred thirty-two".