251061140 has 48 divisors (see below), whose sum is σ = 580305600. Its totient is φ = 90478080.

The previous prime is 251061137. The next prime is 251061143. The reversal of 251061140 is 41160152.

251061140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (251061137) and next prime (251061143).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251061143) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 19811 + ... + 29909.

It is an arithmetic number, because the mean of its divisors is an integer number (12089700).

Almost surely, 2^251061140 is an apocalyptic number.

251061140 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 251061140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290152800).

251061140 is an abundant number, since it is smaller than the sum of its proper divisors (329244460).

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

251061140 is a wasteful number, since it uses less digits than its factorization.

251061140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10232 (or 10230 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 251061140 is about 15844.9089615561. The cubic root of 251061140 is about 630.8505686001.

The spelling of 251061140 in words is "two hundred fifty-one million, sixty-one thousand, one hundred forty".