257493509314260 has 48 divisors (see below), whose sum is σ = 721037429540736. Its totient is φ = 68659640249472.

The previous prime is 257493509314259. The next prime is 257493509314267. The reversal of 257493509314260 is 62413905394752.

It is a happy number.

It is a super-3 number, since 3×257493509314260³ (a number of 44 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 257493509314194 and 257493509314203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257493509314267) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164701987 + ... + 166258026.

It is an arithmetic number, because the mean of its divisors is an integer number (15021613115432).

Almost surely, 2^{257493509314260} is an apocalyptic number.

257493509314260 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257493509314260 is an abundant number, since it is smaller than the sum of its proper divisors (463543920226476).

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

257493509314260 is a wasteful number, since it uses less digits than its factorization.

257493509314260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330972992 (or 330972990 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 60.

The spelling of 257493509314260 in words is "two hundred fifty-seven trillion, four hundred ninety-three billion, five hundred nine million, three hundred fourteen thousand, two hundred sixty".