1252977936 has 80 divisors (see below), whose sum is σ = 3728523264. Its totient is φ = 355162752.

The previous prime is 1252977919. The next prime is 1252977937. The reversal of 1252977936 is 6397792521.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1252977937) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27991 + ... + 57353.

Almost surely, 2^1252977936 is an apocalyptic number.

1252977936 is a gapful number since it is divisible by the number (16) 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 1252977936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1864261632).

1252977936 is an abundant number, since it is smaller than the sum of its proper divisors (2475545328).

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

1252977936 is a wasteful number, since it uses less digits than its factorization.

1252977936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29508 (or 29502 counting only the distinct ones).

The product of its digits is 1428840, while the sum is 51.

The square root of 1252977936 is about 35397.4283811692. The cubic root of 1252977936 is about 1078.0721024145.

The spelling of 1252977936 in words is "one billion, two hundred fifty-two million, nine hundred seventy-seven thousand, nine hundred thirty-six".