251772260 has 72 divisors (see below), whose sum is σ = 564391800. Its totient is φ = 94302208.

The previous prime is 251772259. The next prime is 251772277. The reversal of 251772260 is 62277152.

251772260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 56220004 + 195552256 = 7498^2 + 13984^2 .

It is a congruent number.

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, 560516 + ... + 560964.

It is an arithmetic number, because the mean of its divisors is an integer number (7838775).

Almost surely, 2^251772260 is an apocalyptic number.

251772260 is a gapful number since it is divisible by the number (20) 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 251772260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282195900).

251772260 is an abundant number, since it is smaller than the sum of its proper divisors (312619540).

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

251772260 is a wasteful number, since it uses less digits than its factorization.

251772260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 32.

The square root of 251772260 is about 15867.3331092531. Note that the first 3 decimals coincide. The cubic root of 251772260 is about 631.4456262620.

The spelling of 251772260 in words is "two hundred fifty-one million, seven hundred seventy-two thousand, two hundred sixty".