253233149004 has 72 divisors (see below), whose sum is σ = 698950848960. Its totient is φ = 76666850400.

The previous prime is 253233149003. The next prime is 253233149011. The reversal of 253233149004 is 400941332352.

253233149004 is a `hidden beast` number, since 2 + 532 + 3 + 31 + 4 + 90 + 0 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 253233149004.

It is not an unprimeable number, because it can be changed into a prime (253233149003) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 138967 + ... + 725105.

It is an arithmetic number, because the mean of its divisors is an integer number (9707650680).

Almost surely, 2^253233149004 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 253233149004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349475424480).

253233149004 is an abundant number, since it is smaller than the sum of its proper divisors (445717699956).

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

253233149004 is a wasteful number, since it uses less digits than its factorization.

253233149004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587251 (or 587246 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 253233149004 in words is "two hundred fifty-three billion, two hundred thirty-three million, one hundred forty-nine thousand, four".