257225819130 has 128 divisors (see below), whose sum is σ = 788736614400. Its totient is φ = 58433700672.

The previous prime is 257225819117. The next prime is 257225819183. The reversal of 257225819130 is 31918522752.

257225819130 is a `hidden beast` number, since 2 + 57 + 2 + 2 + 581 + 9 + 13 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 109410 + ... + 725549.

It is an arithmetic number, because the mean of its divisors is an integer number (6162004800).

Almost surely, 2^257225819130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257225819130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394368307200).

257225819130 is an abundant number, since it is smaller than the sum of its proper divisors (531510795270).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

257225819130 is a wasteful number, since it uses less digits than its factorization.

257225819130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835145 (or 835139 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 257225819130 in words is "two hundred fifty-seven billion, two hundred twenty-five million, eight hundred nineteen thousand, one hundred thirty".