257106506804 has 24 divisors (see below), whose sum is σ = 530800531968. Its totient is φ = 106634034720.

The previous prime is 257106506803. The next prime is 257106506843. The reversal of 257106506804 is 408605601752.

It is a super-2 number, since 2×257106506804² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257106506801) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148101959 + ... + 148103694.

It is an arithmetic number, because the mean of its divisors is an integer number (22116688832).

Almost surely, 2^257106506804 is an apocalyptic number.

It is an amenable number.

257106506804 is an abundant number, since it is smaller than the sum of its proper divisors (273694025164).

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

257106506804 is a wasteful number, since it uses less digits than its factorization.

257106506804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296205695 (or 296205693 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 44.

The spelling of 257106506804 in words is "two hundred fifty-seven billion, one hundred six million, five hundred six thousand, eight hundred four".