993996513510 has 256 divisors, whose sum is σ = 3205652889600. Its totient is φ = 190500687360.

The previous prime is 993996513509. The next prime is 993996513607. The reversal of 993996513510 is 15315699399.

It is a super-2 number, since 2×993996513510² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 38515591 + ... + 38541389.

It is an arithmetic number, because the mean of its divisors is an integer number (12522081600).

Almost surely, 2^993996513510 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 993996513510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1602826444800).

993996513510 is an abundant number, since it is smaller than the sum of its proper divisors (2211656376090).

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

993996513510 is a wasteful number, since it uses less digits than its factorization.

993996513510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27123.

The product of its (nonzero) digits is 8857350, while the sum is 60.

The spelling of 993996513510 in words is "nine hundred ninety-three billion, nine hundred ninety-six million, five hundred thirteen thousand, five hundred ten".