253315454004 has 336 divisors, whose sum is σ = 717698076480. Its totient is φ = 77950978560.

The previous prime is 253315453973. The next prime is 253315454009. The reversal of 253315454004 is 400454513352.

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 253315454004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253315454009) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 825131619 + ... + 825131925.

It is an arithmetic number, because the mean of its divisors is an integer number (2136006180).

Almost surely, 2^253315454004 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 253315454004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358849038240).

253315454004 is an abundant number, since it is smaller than the sum of its proper divisors (464382622476).

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

253315454004 is a wasteful number, since it uses less digits than its factorization.

253315454004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 253315454004 its reverse (400454513352), we get a palindrome (653769967356).

The spelling of 253315454004 in words is "two hundred fifty-three billion, three hundred fifteen million, four hundred fifty-four thousand, four".