251416326413 has 48 divisors (see below), whose sum is σ = 311065758000. Its totient is φ = 202223831040.

The previous prime is 251416326401. The next prime is 251416326431. The reversal of 251416326413 is 314623614152.

It can be written as a sum of positive squares in 8 ways, for example, as 29916199369 + 221500127044 = 172963^2 + 470638^2 .

It is not a de Polignac number, because 251416326413 - 2¹⁰ = 251416325389 is a prime.

It is a super-2 number, since 2×251416326413² (a number of 24 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 (251416326433) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 62091413 + ... + 62095461.

It is an arithmetic number, because the mean of its divisors is an integer number (6480536625).

Almost surely, 2^251416326413 is an apocalyptic number.

It is an amenable number.

251416326413 is a deficient number, since it is larger than the sum of its proper divisors (59649431587).

251416326413 is a wasteful number, since it uses less digits than its factorization.

251416326413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5310 (or 5303 counting only the distinct ones).

The product of its digits is 103680, while the sum is 38.

The spelling of 251416326413 in words is "two hundred fifty-one billion, four hundred sixteen million, three hundred twenty-six thousand, four hundred thirteen".