253461107536 has 120 divisors (see below), whose sum is σ = 615451754400. Its totient is φ = 100229342976.

The previous prime is 253461107527. The next prime is 253461107551. The reversal of 253461107536 is 635701164352.

It is a junction number, because it is equal to n+sod(n) for n = 253461107492 and 253461107501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41773975 + ... + 41780041.

It is an arithmetic number, because the mean of its divisors is an integer number (5128764620).

Almost surely, 2^253461107536 is an apocalyptic number.

253461107536 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253461107536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307725877200).

253461107536 is an abundant number, since it is smaller than the sum of its proper divisors (361990646864).

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

253461107536 is a wasteful number, since it uses less digits than its factorization.

253461107536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10201 (or 10188 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 43.

The spelling of 253461107536 in words is "two hundred fifty-three billion, four hundred sixty-one million, one hundred seven thousand, five hundred thirty-six".