507509100054 has 96 divisors (see below), whose sum is σ = 1262943077760. Its totient is φ = 145668585600.

The previous prime is 507509100023. The next prime is 507509100061. The reversal of 507509100054 is 450001905705.

It is a junction number, because it is equal to n+sod(n) for n = 507509099991 and 507509100018.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27532389 + ... + 27550815.

It is an arithmetic number, because the mean of its divisors is an integer number (13155657060).

Almost surely, 2^507509100054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 507509100054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631471538880).

507509100054 is an abundant number, since it is smaller than the sum of its proper divisors (755433977706).

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

507509100054 is a wasteful number, since it uses less digits than its factorization.

507509100054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25786 (or 25783 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 36.

The spelling of 507509100054 in words is "five hundred seven billion, five hundred nine million, one hundred thousand, fifty-four".