251413150351 has 32 divisors (see below), whose sum is σ = 289827025920. Its totient is φ = 217659388320.

The previous prime is 251413150327. The next prime is 251413150369. The reversal of 251413150351 is 153051314152.

251413150351 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 251413150351 - 2⁷ = 251413150223 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251413150321) 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 31 ways as a sum of consecutive naturals, for example, 6992446 + ... + 7028308.

It is an arithmetic number, because the mean of its divisors is an integer number (9057094560).

Almost surely, 2^251413150351 is an apocalyptic number.

251413150351 is a deficient number, since it is larger than the sum of its proper divisors (38413875569).

251413150351 is a wasteful number, since it uses less digits than its factorization.

251413150351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36148 (or 36126 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 31.

The spelling of 251413150351 in words is "two hundred fifty-one billion, four hundred thirteen million, one hundred fifty thousand, three hundred fifty-one".