1252641600 has 756 divisors, whose sum is σ = 5530823584. Its totient is φ = 263208960.

The previous prime is 1252641547. The next prime is 1252641629. The reversal of 1252641600 is 61462521.

1252641600 is a `hidden beast` number, since 1 + 2 + 52 + 6 + 4 + 1 + 600 = 666.

It is a super-2 number, since 2×1252641600² = 3138221956101120000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 29131179 + ... + 29131221.

Almost surely, 2^1252641600 is an apocalyptic number.

1252641600 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 1252641600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2765411792).

1252641600 is an abundant number, since it is smaller than the sum of its proper divisors (4278181984).

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

1252641600 is a wasteful number, since it uses less digits than its factorization.

1252641600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1252641600 is about 35392.6772087108. The cubic root of 1252641600 is about 1077.9756317328.

The spelling of 1252641600 in words is "one billion, two hundred fifty-two million, six hundred forty-one thousand, six hundred".