257936246401 has 8 divisors (see below), whose sum is σ = 264234563208. Its totient is φ = 251638272000.

The previous prime is 257936246371. The next prime is 257936246413. The reversal of 257936246401 is 104642639752.

It can be written as a sum of positive squares in 4 ways, for example, as 7935246400 + 250001000001 = 89080^2 + 500001^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-257936246401 is a prime.

It is a super-2 number, since 2×257936246401² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257936246101) 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, 2132221 + ... + 2249941.

It is an arithmetic number, because the mean of its divisors is an integer number (33029320401).

Almost surely, 2^257936246401 is an apocalyptic number.

It is an amenable number.

257936246401 is a deficient number, since it is larger than the sum of its proper divisors (6298316807).

257936246401 is a wasteful number, since it uses less digits than its factorization.

257936246401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171203.

The product of its (nonzero) digits is 2177280, while the sum is 49.

The spelling of 257936246401 in words is "two hundred fifty-seven billion, nine hundred thirty-six million, two hundred forty-six thousand, four hundred one".