512038098 has 240 divisors, whose sum is σ = 1453370688. Its totient is φ = 132580800.

The previous prime is 512038097. The next prime is 512038099. The reversal of 512038098 is 890830215.

It is an interprime number because it is at equal distance from previous prime (512038097) and next prime (512038099).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (512038091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 16517343 + ... + 16517373.

Almost surely, 2^512038098 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 512038098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726685344).

512038098 is an abundant number, since it is smaller than the sum of its proper divisors (941332590).

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

512038098 is a wasteful number, since it uses less digits than its factorization.

512038098 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 512038098 is about 22628.2588371266. The cubic root of 512038098 is about 800.0198422162.

The spelling of 512038098 in words is "five hundred twelve million, thirty-eight thousand, ninety-eight".