1251454400556 has 48 divisors (see below), whose sum is σ = 2935997912064. Its totient is φ = 414875851776.

The previous prime is 1251454400543. The next prime is 1251454400557. The reversal of 1251454400556 is 6550044541521.

It is a happy number.

It is a super-2 number, since 2×1251454400556² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1251454400557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8559241 + ... + 8704223.

It is an arithmetic number, because the mean of its divisors is an integer number (61166623168).

Almost surely, 2^{1251454400556} is an apocalyptic number.

It is an amenable number.

1251454400556 is an abundant number, since it is smaller than the sum of its proper divisors (1684543511508).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1251454400556 is a wasteful number, since it uses less digits than its factorization.

1251454400556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148910 (or 148908 counting only the distinct ones).

The product of its (nonzero) digits is 480000, while the sum is 42.

The spelling of 1251454400556 in words is "one trillion, two hundred fifty-one billion, four hundred fifty-four million, four hundred thousand, five hundred fifty-six".