1252571400 has 72 divisors (see below), whose sum is σ = 4206558330. Its totient is φ = 334018560.

The previous prime is 1252571321. The next prime is 1252571417. The reversal of 1252571400 is 41752521.

1252571400 is a `hidden beast` number, since 1 + 2 + 5 + 257 + 1 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 914820516 + 337750884 = 30246^2 + 18378^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1252571400² = 3137870224195920000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 346137 + ... + 349736.

Almost surely, 2^1252571400 is an apocalyptic number.

1252571400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1252571400 is an abundant number, since it is smaller than the sum of its proper divisors (2953986930).

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

1252571400 is a wasteful number, since it uses less digits than its factorization.

1252571400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695895 (or 695883 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 1252571400 is about 35391.6854642443. The cubic root of 1252571400 is about 1077.9554942082.

The spelling of 1252571400 in words is "one billion, two hundred fifty-two million, five hundred seventy-one thousand, four hundred".