257150352401 has 2 divisors, whose sum is σ = 257150352402. Its totient is φ = 257150352400.

The previous prime is 257150352397. The next prime is 257150352439. The reversal of 257150352401 is 104253051752.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 223138140625 + 34012211776 = 472375^2 + 184424^2 .

It is a cyclic number.

It is not a de Polignac number, because 257150352401 - 2² = 257150352397 is a prime.

It is a super-2 number, since 2×257150352401² (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (257150352101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128575176200 + 128575176201.

It is an arithmetic number, because the mean of its divisors is an integer number (128575176201).

Almost surely, 2^257150352401 is an apocalyptic number.

It is an amenable number.

257150352401 is a deficient number, since it is larger than the sum of its proper divisors (1).

257150352401 is an equidigital number, since it uses as much as digits as its factorization.

257150352401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 42000, while the sum is 35.

The spelling of 257150352401 in words is "two hundred fifty-seven billion, one hundred fifty million, three hundred fifty-two thousand, four hundred one".