1257305317631 has 16 divisors (see below), whose sum is σ = 1373718528000. Its totient is φ = 1141244760480.

The previous prime is 1257305317613. The next prime is 1257305317651. The reversal of 1257305317631 is 1367135037521.

It is not a de Polignac number, because 1257305317631 - 2¹⁴ = 1257305301247 is a prime.

It is a super-2 number, since 2×1257305317631² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1257305317651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77954690 + ... + 77970816.

It is an arithmetic number, because the mean of its divisors is an integer number (85857408000).

Almost surely, 2^{1257305317631} is an apocalyptic number.

1257305317631 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1257305317631 is a deficient number, since it is larger than the sum of its proper divisors (116413210369).

1257305317631 is a wasteful number, since it uses less digits than its factorization.

1257305317631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26614.

The product of its (nonzero) digits is 396900, while the sum is 44.

The spelling of 1257305317631 in words is "one trillion, two hundred fifty-seven billion, three hundred five million, three hundred seventeen thousand, six hundred thirty-one".