253106052804 has 120 divisors (see below), whose sum is σ = 724392589536. Its totient is φ = 76425552000.

The previous prime is 253106052799. The next prime is 253106052817. The reversal of 253106052804 is 408250601352.

253106052804 is a `hidden beast` number, since 2 + 5 + 310 + 60 + 5 + 280 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 875119 + ... + 1127849.

Almost surely, 2^253106052804 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253106052804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362196294768).

253106052804 is an abundant number, since it is smaller than the sum of its proper divisors (471286536732).

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

253106052804 is a wasteful number, since it uses less digits than its factorization.

253106052804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253039 (or 253028 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 253106052804 in words is "two hundred fifty-three billion, one hundred six million, fifty-two thousand, eight hundred four".