1251083988 has 384 divisors, whose sum is σ = 4376494080. Its totient is φ = 299376000.

The previous prime is 1251083987. The next prime is 1251083989. The reversal of 1251083988 is 8893801521.

It is a happy number.

1251083988 is a `hidden beast` number, since 1 + 251 + 0 + 8 + 398 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1251083987) and next prime (1251083989).

It is a super-2 number, since 2×1251083988² = 3130422290059968288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1251083987) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5929203 + ... + 5929413.

It is an arithmetic number, because the mean of its divisors is an integer number (11397120).

Almost surely, 2^1251083988 is an apocalyptic number.

1251083988 is a gapful number since it is divisible by the number (18) 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 1251083988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2188247040).

1251083988 is an abundant number, since it is smaller than the sum of its proper divisors (3125410092).

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

1251083988 is a wasteful number, since it uses less digits than its factorization.

1251083988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The square root of 1251083988 is about 35370.6656425915. The cubic root of 1251083988 is about 1077.5286392296.

The spelling of 1251083988 in words is "one billion, two hundred fifty-one million, eighty-three thousand, nine hundred eighty-eight".