253173825104 has 80 divisors (see below), whose sum is σ = 519259431936. Its totient is φ = 119386137600.

The previous prime is 253173825103. The next prime is 253173825109. The reversal of 253173825104 is 401528371352.

253173825104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×253173825104² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253173825101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20268749 + ... + 20281235.

Almost surely, 2^253173825104 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 253173825104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259629715968).

253173825104 is an abundant number, since it is smaller than the sum of its proper divisors (266085606832).

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

253173825104 is a wasteful number, since it uses less digits than its factorization.

253173825104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13564 (or 13558 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 41.

The spelling of 253173825104 in words is "two hundred fifty-three billion, one hundred seventy-three million, eight hundred twenty-five thousand, one hundred four".