1252595904 has 224 divisors, whose sum is σ = 4070762496. Its totient is φ = 331776000.

The previous prime is 1252595867. The next prime is 1252595909. The reversal of 1252595904 is 4095952521.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (1252595909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1667529 + ... + 1668279.

Almost surely, 2^1252595904 is an apocalyptic number.

1252595904 is a gapful number since it is divisible by the number (14) 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 1252595904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2035381248).

1252595904 is an abundant number, since it is smaller than the sum of its proper divisors (2818166592).

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

1252595904 is a wasteful number, since it uses less digits than its factorization.

1252595904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 42.

The square root of 1252595904 is about 35392.0316455555. The cubic root of 1252595904 is about 1077.9625234946.

The spelling of 1252595904 in words is "one billion, two hundred fifty-two million, five hundred ninety-five thousand, nine hundred four".