251641001251 has 8 divisors (see below), whose sum is σ = 256415176160. Its totient is φ = 246911654592.

The previous prime is 251641001239. The next prime is 251641001273. The reversal of 251641001251 is 152100146152.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 251641001251 - 2⁹ = 251641000739 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (251641001221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11195730 + ... + 11218183.

It is an arithmetic number, because the mean of its divisors is an integer number (32051897020).

Almost surely, 2^251641001251 is an apocalyptic number.

251641001251 is a deficient number, since it is larger than the sum of its proper divisors (4774174909).

251641001251 is a wasteful number, since it uses less digits than its factorization.

251641001251 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22414125.

The product of its (nonzero) digits is 2400, while the sum is 28.

The spelling of 251641001251 in words is "two hundred fifty-one billion, six hundred forty-one million, one thousand, two hundred fifty-one".