257136770352 has 80 divisors (see below), whose sum is σ = 828180778752. Its totient is φ = 66788770560.

The previous prime is 257136770347. The next prime is 257136770353. The reversal of 257136770352 is 253077631752.

It is a super-2 number, since 2×257136770352² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (257136770353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34782123 + ... + 34789514.

Almost surely, 2^257136770352 is an apocalyptic number.

257136770352 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

257136770352 is an abundant number, since it is smaller than the sum of its proper divisors (571044008400).

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

257136770352 is a wasteful number, since it uses less digits than its factorization.

257136770352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69571666 (or 69571660 counting only the distinct ones).

The product of its (nonzero) digits is 1852200, while the sum is 48.

The spelling of 257136770352 in words is "two hundred fifty-seven billion, one hundred thirty-six million, seven hundred seventy thousand, three hundred fifty-two".