251342505243152 has 40 divisors (see below), whose sum is σ = 495035899380000. Its totient is φ = 123608284567040.

The previous prime is 251342505243143. The next prime is 251342505243281.

251342505243152 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×251342505243152² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 530361902 + ... + 530835597.

It is an arithmetic number, because the mean of its divisors is an integer number (12375897484500).

Almost surely, 2^{251342505243152} is an apocalyptic number.

It is an amenable number.

251342505243152 is a deficient number, since it is larger than the sum of its proper divisors (243693394136848).

251342505243152 is a wasteful number, since it uses less digits than its factorization.

251342505243152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061197751 (or 1061197745 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 44.

The spelling of 251342505243152 in words is "two hundred fifty-one trillion, three hundred forty-two billion, five hundred five million, two hundred forty-three thousand, one hundred fifty-two".