257010947461 has 2 divisors, whose sum is σ = 257010947462. Its totient is φ = 257010947460.

The previous prime is 257010947423. The next prime is 257010947467. The reversal of 257010947461 is 164749010752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 130617188100 + 126393759361 = 361410^2 + 355519^2 .

It is a cyclic number.

It is not a de Polignac number, because 257010947461 - 2³⁵ = 222651209093 is a prime.

It is a super-2 number, since 2×257010947461² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257010947467) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128505473730 + 128505473731.

It is an arithmetic number, because the mean of its divisors is an integer number (128505473731).

Almost surely, 2^257010947461 is an apocalyptic number.

It is an amenable number.

257010947461 is a deficient number, since it is larger than the sum of its proper divisors (1).

257010947461 is an equidigital number, since it uses as much as digits as its factorization.

257010947461 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 423360, while the sum is 46.

The spelling of 257010947461 in words is "two hundred fifty-seven billion, ten million, nine hundred forty-seven thousand, four hundred sixty-one".