507258381630 has 800 divisors, whose sum is σ = 1727897461920. Its totient is φ = 94666682880.

The previous prime is 507258381629. The next prime is 507258381653. The reversal of 507258381630 is 36183852705.

It is a super-2 number, since 2×507258381630² (a number of 24 digits) contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 507258381630.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 13709685972 + ... + 13709686008.

Almost surely, 2^507258381630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 507258381630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863948730960).

507258381630 is an abundant number, since it is smaller than the sum of its proper divisors (1220639080290).

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

507258381630 is an equidigital number, since it uses as much as digits as its factorization.

507258381630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

It can be divided in two parts, 507258 and 381630, that added together give a palindrome (888888).

The spelling of 507258381630 in words is "five hundred seven billion, two hundred fifty-eight million, three hundred eighty-one thousand, six hundred thirty".