1251955488 has 192 divisors, whose sum is σ = 3871929600. Its totient is φ = 354041856.

The previous prime is 1251955469. The next prime is 1251955513. The reversal of 1251955488 is 8845591521.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6355006 + ... + 6355202.

It is an arithmetic number, because the mean of its divisors is an integer number (20166300).

Almost surely, 2^1251955488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1251955488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1935964800).

1251955488 is an abundant number, since it is smaller than the sum of its proper divisors (2619974112).

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

1251955488 is a wasteful number, since it uses less digits than its factorization.

1251955488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 402 counting only the distinct ones).

The product of its digits is 576000, while the sum is 48.

The square root of 1251955488 is about 35382.9830285690. The cubic root of 1251955488 is about 1077.7787818399.

The spelling of 1251955488 in words is "one billion, two hundred fifty-one million, nine hundred fifty-five thousand, four hundred eighty-eight".