1251295500 has 384 divisors, whose sum is σ = 4579061760. Its totient is φ = 258508800.

The previous prime is 1251295481. The next prime is 1251295517. The reversal of 1251295500 is 55921521.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12148449 + ... + 12148551.

It is an arithmetic number, because the mean of its divisors is an integer number (11924640).

Almost surely, 2^1251295500 is an apocalyptic number.

1251295500 is a gapful number since it is divisible by the number (10) 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 1251295500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2289530880).

1251295500 is an abundant number, since it is smaller than the sum of its proper divisors (3327766260).

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

1251295500 is a wasteful number, since it uses less digits than its factorization.

1251295500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 30.

The square root of 1251295500 is about 35373.6554514797. The cubic root of 1251295500 is about 1077.5893592125.

The spelling of 1251295500 in words is "one billion, two hundred fifty-one million, two hundred ninety-five thousand, five hundred".