253293002496 has 216 divisors, whose sum is σ = 754832717184. Its totient is φ = 81602519040.

The previous prime is 253293002491. The next prime is 253293002509. The reversal of 253293002496 is 694200392352.

253293002496 is a `hidden beast` number, since 2 + 532 + 9 + 3 + 0 + 0 + 24 + 96 = 666.

It is a super-2 number, since 2×253293002496² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253293002491) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71207950 + ... + 71211506.

Almost surely, 2^253293002496 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 253293002496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377416358592).

253293002496 is an abundant number, since it is smaller than the sum of its proper divisors (501539714688).

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

253293002496 is a wasteful number, since it uses less digits than its factorization.

253293002496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4607 (or 4590 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 253293002496 in words is "two hundred fifty-three billion, two hundred ninety-three million, two thousand, four hundred ninety-six".