513117990 has 320 divisors, whose sum is σ = 1814883840. Its totient is φ = 100776960.

The previous prime is 513117977. The next prime is 513118003. The reversal of 513117990 is 99711315.

It is an interprime number because it is at equal distance from previous prime (513117977) and next prime (513118003).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1184814 + ... + 1185246.

It is an arithmetic number, because the mean of its divisors is an integer number (5671512).

Almost surely, 2^513117990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513117990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907441920).

513117990 is an abundant number, since it is smaller than the sum of its proper divisors (1301765850).

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

513117990 is a wasteful number, since it uses less digits than its factorization.

513117990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 8505, while the sum is 36.

The square root of 513117990 is about 22652.1078489398. The cubic root of 513117990 is about 800.5818631498.

The spelling of 513117990 in words is "five hundred thirteen million, one hundred seventeen thousand, nine hundred ninety".