257136770345 has 32 divisors (see below), whose sum is σ = 389033971200. Its totient is φ = 158789352960.

The previous prime is 257136770339. The next prime is 257136770347. The reversal of 257136770345 is 543077631752.

It is not a de Polignac number, because 257136770345 - 2²⁰ = 257135721769 is a prime.

It is a super-2 number, since 2×257136770345² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 257136770293 and 257136770302.

It is not an unprimeable number, because it can be changed into a prime (257136770347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6873245 + ... + 6910554.

It is an arithmetic number, because the mean of its divisors is an integer number (12157311600).

Almost surely, 2^257136770345 is an apocalyptic number.

It is an amenable number.

257136770345 is a deficient number, since it is larger than the sum of its proper divisors (131897200855).

257136770345 is a wasteful number, since it uses less digits than its factorization.

257136770345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13783865.

The product of its (nonzero) digits is 3704400, while the sum is 50.

The spelling of 257136770345 in words is "two hundred fifty-seven billion, one hundred thirty-six million, seven hundred seventy thousand, three hundred forty-five".