1252741600 has 72 divisors (see below), whose sum is σ = 3336302088. Its totient is φ = 455539200.

The previous prime is 1252741591. The next prime is 1252741601. The reversal of 1252741600 is 61472521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1252741601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62379 + ... + 79978.

It is an arithmetic number, because the mean of its divisors is an integer number (46337529).

Almost surely, 2^1252741600 is an apocalyptic number.

1252741600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1252741600 is an abundant number, since it is smaller than the sum of its proper divisors (2083560488).

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

1252741600 is a wasteful number, since it uses less digits than its factorization.

1252741600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142388 (or 142375 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 1252741600 is about 35394.0899021291. The cubic root of 1252741600 is about 1078.0043163660.

The spelling of 1252741600 in words is "one billion, two hundred fifty-two million, seven hundred forty-one thousand, six hundred".