251461852152 has 128 divisors (see below), whose sum is σ = 764138188800. Its totient is φ = 67316594688.

The previous prime is 251461852133. The next prime is 251461852153. The reversal of 251461852152 is 251258164152.

251461852152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×251461852152² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251461852153) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 439474 + ... + 834302.

It is an arithmetic number, because the mean of its divisors is an integer number (5969829600).

Almost surely, 2^251461852152 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 251461852152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382069094400).

251461852152 is an abundant number, since it is smaller than the sum of its proper divisors (512676336648).

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

251461852152 is a wasteful number, since it uses less digits than its factorization.

251461852152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395085 (or 395081 counting only the distinct ones).

The product of its digits is 192000, while the sum is 42.

The spelling of 251461852152 in words is "two hundred fifty-one billion, four hundred sixty-one million, eight hundred fifty-two thousand, one hundred fifty-two".