251129122116552 has 48 divisors (see below), whose sum is σ = 681935940738000. Its totient is φ = 83488837422816.

The previous prime is 251129122116533. The next prime is 251129122116581. The reversal of 251129122116552 is 255611221921152.

251129122116552 is a `hidden beast` number, since 2 + 5 + 1 + 1 + 2 + 91 + 2 + 2 + 1 + 1 + 6 + 552 = 666.

251129122116552 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 251129122116498 and 251129122116507.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4601429802 + ... + 4601484377.

It is an arithmetic number, because the mean of its divisors is an integer number (14206998765375).

Almost surely, 2^{251129122116552} is an apocalyptic number.

It is an amenable number.

251129122116552 is an abundant number, since it is smaller than the sum of its proper divisors (430806818621448).

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

251129122116552 is a wasteful number, since it uses less digits than its factorization.

251129122116552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9202914570 (or 9202914563 counting only the distinct ones).

The product of its digits is 216000, while the sum is 45.

The spelling of 251129122116552 in words is "two hundred fifty-one trillion, one hundred twenty-nine billion, one hundred twenty-two million, one hundred sixteen thousand, five hundred fifty-two".