257261144292 has 36 divisors (see below), whose sum is σ = 650315880396. Its totient is φ = 85751489280.

The previous prime is 257261144251. The next prime is 257261144303. The reversal of 257261144292 is 292441162752.

257261144292 is a `hidden beast` number, since 2 + 5 + 7 + 2 + 611 + 4 + 4 + 29 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 71212124736 + 186049019556 = 266856^2 + 431334^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1900792 + ... + 2031632.

It is an arithmetic number, because the mean of its divisors is an integer number (18064330011).

Almost surely, 2^257261144292 is an apocalyptic number.

It is an amenable number.

257261144292 is an abundant number, since it is smaller than the sum of its proper divisors (393054736104).

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

257261144292 is a wasteful number, since it uses less digits than its factorization.

257261144292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185468 (or 185463 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The spelling of 257261144292 in words is "two hundred fifty-seven billion, two hundred sixty-one million, one hundred forty-four thousand, two hundred ninety-two".