1253155904 has 224 divisors, whose sum is σ = 3451994112. Its totient is φ = 435456000.

The previous prime is 1253155861. The next prime is 1253155921. The reversal of 1253155904 is 4095513521.

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

It is an unprimeable number.

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, 1985669 + ... + 1986299.

It is an arithmetic number, because the mean of its divisors is an integer number (15410688).

Almost surely, 2^1253155904 is an apocalyptic number.

1253155904 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 1253155904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1725997056).

1253155904 is an abundant number, since it is smaller than the sum of its proper divisors (2198838208).

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

1253155904 is a wasteful number, since it uses less digits than its factorization.

1253155904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 35.

The square root of 1253155904 is about 35399.9421468454. The cubic root of 1253155904 is about 1078.1231416886.

The spelling of 1253155904 in words is "one billion, two hundred fifty-three million, one hundred fifty-five thousand, nine hundred four".