257040627354553 has 16 divisors (see below), whose sum is σ = 311041989308160. Its totient is φ = 207359685997056.

The previous prime is 257040627354527. The next prime is 257040627354613. The reversal of 257040627354553 is 355453726040752.

It is a cyclic number.

It is not a de Polignac number, because 257040627354553 - 2²⁵ = 257040593800121 is a prime.

It is a super-3 number, since 3×257040627354553³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257040627354523) 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, 26895300 + ... + 35177242.

It is an arithmetic number, because the mean of its divisors is an integer number (19440124331760).

Almost surely, 2^{257040627354553} is an apocalyptic number.

It is an amenable number.

257040627354553 is a deficient number, since it is larger than the sum of its proper divisors (54001361953607).

257040627354553 is a wasteful number, since it uses less digits than its factorization.

257040627354553 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8542776.

The product of its (nonzero) digits is 105840000, while the sum is 58.

The spelling of 257040627354553 in words is "two hundred fifty-seven trillion, forty billion, six hundred twenty-seven million, three hundred fifty-four thousand, five hundred fifty-three".