251315064 has 288 divisors, whose sum is σ = 923700960. Its totient is φ = 60065280.

The previous prime is 251315039. The next prime is 251315083. The reversal of 251315064 is 460513152.

251315064 is a `hidden beast` number, since 25 + 131 + 506 + 4 = 666.

It is a super-2 number, since 2×251315064² = 126318522786648192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 792634 + ... + 792950.

It is an arithmetic number, because the mean of its divisors is an integer number (3207295).

Almost surely, 2^251315064 is an apocalyptic number.

251315064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 251315064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461850480).

251315064 is an abundant number, since it is smaller than the sum of its proper divisors (672385896).

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

251315064 is a wasteful number, since it uses less digits than its factorization.

251315064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 251315064 is about 15852.9197310779. The cubic root of 251315064 is about 631.0631783322.

The spelling of 251315064 in words is "two hundred fifty-one million, three hundred fifteen thousand, sixty-four".