257373415133225 has 24 divisors (see below), whose sum is σ = 325435348351512. Its totient is φ = 201845644416000.

The previous prime is 257373415133213. The next prime is 257373415133269. The reversal of 257373415133225 is 522331514373752.

It is a happy number.

257373415133225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 94224218231056 + 163149196902169 = 9706916^2 + 12772987^2 .

It is not a de Polignac number, because 257373415133225 - 2¹⁴ = 257373415116841 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79276322 + ... + 82458971.

It is an arithmetic number, because the mean of its divisors is an integer number (13559806181313).

Almost surely, 2^{257373415133225} is an apocalyptic number.

257373415133225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

257373415133225 is a deficient number, since it is larger than the sum of its proper divisors (68061933218287).

257373415133225 is a wasteful number, since it uses less digits than its factorization.

257373415133225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161736557 (or 161736552 counting only the distinct ones).

The product of its digits is 15876000, while the sum is 53.

The spelling of 257373415133225 in words is "two hundred fifty-seven trillion, three hundred seventy-three billion, four hundred fifteen million, one hundred thirty-three thousand, two hundred twenty-five".