257047410524053 has 24 divisors (see below), whose sum is σ = 270963177307200. Its totient is φ = 243816767952384.

The previous prime is 257047410523999. The next prime is 257047410524063. The reversal of 257047410524053 is 350425014740752.

It is a happy number.

257047410524053 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 257047410524053 - 2²¹ = 257047408426901 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 257047410523988 and 257047410524006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257047410524063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30213301 + ... + 37774837.

It is an arithmetic number, because the mean of its divisors is an integer number (11290132387800).

Almost surely, 2^{257047410524053} is an apocalyptic number.

257047410524053 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

257047410524053 is a deficient number, since it is larger than the sum of its proper divisors (13915766783147).

257047410524053 is a wasteful number, since it uses less digits than its factorization.

257047410524053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7562121 (or 7562098 counting only the distinct ones).

The product of its (nonzero) digits is 4704000, while the sum is 49.

The spelling of 257047410524053 in words is "two hundred fifty-seven trillion, forty-seven billion, four hundred ten million, five hundred twenty-four thousand, fifty-three".