253501420352 has 224 divisors, whose sum is σ = 569251307520. Its totient is φ = 111414804480.

The previous prime is 253501420349. The next prime is 253501420387. The reversal of 253501420352 is 253024105352.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164290493 + ... + 164292035.

It is an arithmetic number, because the mean of its divisors is an integer number (2541300480).

Almost surely, 2^253501420352 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 253501420352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284625653760).

253501420352 is an abundant number, since it is smaller than the sum of its proper divisors (315749887168).

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

253501420352 is a wasteful number, since it uses less digits than its factorization.

253501420352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1769 (or 1759 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 32.

The spelling of 253501420352 in words is "two hundred fifty-three billion, five hundred one million, four hundred twenty thousand, three hundred fifty-two".