251551042064 has 120 divisors (see below), whose sum is σ = 591280155648. Its totient is φ = 103253391360.

The previous prime is 251551042049. The next prime is 251551042087. The reversal of 251551042064 is 460240155152.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2304137 + ... + 2410839.

Almost surely, 2^251551042064 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 251551042064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295640077824).

251551042064 is an abundant number, since it is smaller than the sum of its proper divisors (339729113584).

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

251551042064 is a wasteful number, since it uses less digits than its factorization.

251551042064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106853 (or 106840 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 35.

The spelling of 251551042064 in words is "two hundred fifty-one billion, five hundred fifty-one million, forty-two thousand, sixty-four".