251413150352 has 80 divisors (see below), whose sum is σ = 601158523392. Its totient is φ = 99188928000.

The previous prime is 251413150327. The next prime is 251413150369. The reversal of 251413150352 is 253051314152.

It is a super-3 number, since 3×251413150352³ (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 299102 + ... + 769602.

Almost surely, 2^251413150352 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 251413150352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300579261696).

251413150352 is an abundant number, since it is smaller than the sum of its proper divisors (349745373040).

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

251413150352 is a wasteful number, since it uses less digits than its factorization.

251413150352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470896 (or 470890 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

The spelling of 251413150352 in words is "two hundred fifty-one billion, four hundred thirteen million, one hundred fifty thousand, three hundred fifty-two".