901289715930 has 160 divisors (see below), whose sum is σ = 2431577762064. Its totient is φ = 239541249024.

The previous prime is 901289715889. The next prime is 901289716001. The reversal of 901289715930 is 39517982109.

901289715930 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 3444398721 + 897845317209 = 58689^2 + 947547^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 386321044 + ... + 386323376.

Almost surely, 2^901289715930 is an apocalyptic number.

901289715930 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 901289715930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1215788881032).

901289715930 is an abundant number, since it is smaller than the sum of its proper divisors (1530288046134).

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

901289715930 is a wasteful number, since it uses less digits than its factorization.

901289715930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3742 (or 3733 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 54.

The spelling of 901289715930 in words is "nine hundred one billion, two hundred eighty-nine million, seven hundred fifteen thousand, nine hundred thirty".