251164540 has 36 divisors (see below), whose sum is σ = 579759768. Its totient is φ = 91331680.

The previous prime is 251164519. The next prime is 251164541. The reversal of 251164540 is 45461152.

It is a junction number, because it is equal to n+sod(n) for n = 251164499 and 251164508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251164541) 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, 49474 + ... + 54313.

It is an arithmetic number, because the mean of its divisors is an integer number (16104438).

Almost surely, 2^251164540 is an apocalyptic number.

251164540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

251164540 is an abundant number, since it is smaller than the sum of its proper divisors (328595228).

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

251164540 is a wasteful number, since it uses less digits than its factorization.

251164540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103818 (or 103805 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 251164540 is about 15848.1715033628. The cubic root of 251164540 is about 630.9371623754.

The spelling of 251164540 in words is "two hundred fifty-one million, one hundred sixty-four thousand, five hundred forty".