251363140 has 36 divisors (see below), whose sum is σ = 614046636. Its totient is φ = 86181312.

The previous prime is 251363137. The next prime is 251363143. The reversal of 251363140 is 41363152.

It is an interprime number because it is at equal distance from previous prime (251363137) and next prime (251363143).

It can be written as a sum of positive squares in 2 ways, for example, as 172081924 + 79281216 = 13118^2 + 8904^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251363143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 127267 + ... + 129226.

It is an arithmetic number, because the mean of its divisors is an integer number (17056851).

Almost surely, 2^251363140 is an apocalyptic number.

251363140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

251363140 is an abundant number, since it is smaller than the sum of its proper divisors (362683496).

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

251363140 is a wasteful number, since it uses less digits than its factorization.

251363140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256516 (or 256507 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 251363140 is about 15854.4359723076. The cubic root of 251363140 is about 631.1034160833.

The spelling of 251363140 in words is "two hundred fifty-one million, three hundred sixty-three thousand, one hundred forty".