257511172401 has 18 divisors (see below), whose sum is σ = 432688841442. Its totient is φ = 147149241120.

The previous prime is 257511172363. The next prime is 257511172421. The reversal of 257511172401 is 104271115752.

It is a happy number.

257511172401 is a `hidden beast` number, since 2 + 5 + 75 + 11 + 172 + 401 = 666.

It can be written as a sum of positive squares in only one way, i.e., 257414169600 + 97002801 = 507360^2 + 9849^2 .

It is not a de Polignac number, because 257511172401 - 2¹⁴ = 257511156017 is a prime.

It is a super-2 number, since 2×257511172401² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (257511172421) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 291962340 + ... + 291963221.

It is an arithmetic number, because the mean of its divisors is an integer number (24038268969).

Almost surely, 2^257511172401 is an apocalyptic number.

257511172401 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

257511172401 is a deficient number, since it is larger than the sum of its proper divisors (175177669041).

257511172401 is a wasteful number, since it uses less digits than its factorization.

257511172401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583925581 (or 583925571 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 36.

The spelling of 257511172401 in words is "two hundred fifty-seven billion, five hundred eleven million, one hundred seventy-two thousand, four hundred one".