93913512500 has 54 divisors (see below), whose sum is σ = 205497632466. Its totient is φ = 37551700000.

The previous prime is 93913512487. The next prime is 93913512509. The reversal of 93913512500 is 521531939.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 9 ways, for example, as 91153271056 + 2760241444 = 301916^2 + 52538^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93913512509) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 34261130 + ... + 34263870.

Almost surely, 2^93913512500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93913512500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102748816233).

93913512500 is an abundant number, since it is smaller than the sum of its proper divisors (111584119966).

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

93913512500 is an frugal number, since it uses more digits than its factorization.

93913512500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5511 (or 2748 counting only the distinct ones).

The product of its (nonzero) digits is 36450, while the sum is 38.

The spelling of 93913512500 in words is "ninety-three billion, nine hundred thirteen million, five hundred twelve thousand, five hundred".