83513003019264 has 528 divisors, whose sum is σ = 298344581283840. Its totient is φ = 21910049095680.

The previous prime is 83513003019221. The next prime is 83513003019379. The reversal of 83513003019264 is 46291030031538.

83513003019264 is a `hidden beast` number, since 8 + 3 + 51 + 30 + 0 + 301 + 9 + 264 = 666.

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, 159922617 + ... + 160443975.

Almost surely, 2^{83513003019264} is an apocalyptic number.

83513003019264 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83513003019264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149172290641920).

83513003019264 is an abundant number, since it is smaller than the sum of its proper divisors (214831578264576).

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

83513003019264 is a wasteful number, since it uses less digits than its factorization.

83513003019264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521596 (or 521575 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 83513003019264 in words is "eighty-three trillion, five hundred thirteen billion, three million, nineteen thousand, two hundred sixty-four".