2551507346332 has 96 divisors (see below), whose sum is σ = 5212677431808. Its totient is φ = 1070114782464.

The previous prime is 2551507346329. The next prime is 2551507346357. The reversal of 2551507346332 is 2336437051552.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1597686958 + ... + 1597688554.

It is an arithmetic number, because the mean of its divisors is an integer number (54298723248).

Almost surely, 2^{2551507346332} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2551507346332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2606338715904).

2551507346332 is an abundant number, since it is smaller than the sum of its proper divisors (2661170085476).

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

2551507346332 is a wasteful number, since it uses less digits than its factorization.

2551507346332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3755 (or 3753 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 46.

The spelling of 2551507346332 in words is "two trillion, five hundred fifty-one billion, five hundred seven million, three hundred forty-six thousand, three hundred thirty-two".