257361552013 has 2 divisors, whose sum is σ = 257361552014. Its totient is φ = 257361552012.

The previous prime is 257361551983. The next prime is 257361552043. The reversal of 257361552013 is 310255163752.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (257361551983) and next prime (257361552043).

It can be written as a sum of positive squares in only one way, i.e., 197707397449 + 59654154564 = 444643^2 + 244242^2 .

It is a cyclic number.

It is not a de Polignac number, because 257361552013 - 2¹³ = 257361543821 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257361552043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128680776006 + 128680776007.

It is an arithmetic number, because the mean of its divisors is an integer number (128680776007).

Almost surely, 2^257361552013 is an apocalyptic number.

It is an amenable number.

257361552013 is a deficient number, since it is larger than the sum of its proper divisors (1).

257361552013 is an equidigital number, since it uses as much as digits as its factorization.

257361552013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 189000, while the sum is 40.

The spelling of 257361552013 in words is "two hundred fifty-seven billion, three hundred sixty-one million, five hundred fifty-two thousand, thirteen".