251513130 has 128 divisors (see below), whose sum is σ = 705438720. Its totient is φ = 56714240.

The previous prime is 251513123. The next prime is 251513131. The reversal of 251513130 is 31315152.

It is a junction number, because it is equal to n+sod(n) for n = 251513097 and 251513106.

It is not an unprimeable number, because it can be changed into a prime (251513131) 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 63 ways as a sum of consecutive naturals, for example, 600061 + ... + 600479.

It is an arithmetic number, because the mean of its divisors is an integer number (5511240).

Almost surely, 2^251513130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 251513130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352719360).

251513130 is an abundant number, since it is smaller than the sum of its proper divisors (453925590).

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

251513130 is a wasteful number, since it uses less digits than its factorization.

251513130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564.

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 251513130 is about 15859.1654887639. The cubic root of 251513130 is about 631.2289189444.

Adding to 251513130 its reverse (31315152), we get a palindrome (282828282).

The spelling of 251513130 in words is "two hundred fifty-one million, five hundred thirteen thousand, one hundred thirty".