257261906190 has 32 divisors (see below), whose sum is σ = 629078174496. Its totient is φ = 67308775040.

The previous prime is 257261906171. The next prime is 257261906201. The reversal of 257261906190 is 91609162752.

It is a super-2 number, since 2×257261906190² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80898381 + ... + 80901560.

It is an arithmetic number, because the mean of its divisors is an integer number (19658692953).

Almost surely, 2^257261906190 is an apocalyptic number.

257261906190 is an abundant number, since it is smaller than the sum of its proper divisors (371816268306).

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

257261906190 is a wasteful number, since it uses less digits than its factorization.

257261906190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161800004.

The product of its (nonzero) digits is 408240, while the sum is 48.

The spelling of 257261906190 in words is "two hundred fifty-seven billion, two hundred sixty-one million, nine hundred six thousand, one hundred ninety".