257153311007463 has 32 divisors (see below), whose sum is σ = 370389598854912. Its totient is φ = 157758179616000.

The previous prime is 257153311007393. The next prime is 257153311007471. The reversal of 257153311007463 is 364700113351752.

It is not a de Polignac number, because 257153311007463 - 2⁹ = 257153311006951 is a prime.

It is a super-2 number, since 2×257153311007463² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257153311007363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60899203 + ... + 64984763.

It is an arithmetic number, because the mean of its divisors is an integer number (11574674964216).

Almost surely, 2^{257153311007463} is an apocalyptic number.

257153311007463 is a deficient number, since it is larger than the sum of its proper divisors (113236287847449).

257153311007463 is a wasteful number, since it uses less digits than its factorization.

257153311007463 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4090575.

The product of its (nonzero) digits is 1587600, while the sum is 48.

The spelling of 257153311007463 in words is "two hundred fifty-seven trillion, one hundred fifty-three billion, three hundred eleven million, seven thousand, four hundred sixty-three".