901513368 has 192 divisors, whose sum is σ = 3067056000. Its totient is φ = 243964224.

The previous prime is 901513357. The next prime is 901513373. The reversal of 901513368 is 863315109.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 198855 + ... + 203337.

It is an arithmetic number, because the mean of its divisors is an integer number (15974250).

Almost surely, 2^901513368 is an apocalyptic number.

901513368 is a gapful number since it is divisible by the number (98) 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 901513368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1533528000).

901513368 is an abundant number, since it is smaller than the sum of its proper divisors (2165542632).

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

901513368 is a wasteful number, since it uses less digits than its factorization.

901513368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4531 (or 4514 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 901513368 is about 30025.2122057447. The cubic root of 901513368 is about 966.0302447997.

The spelling of 901513368 in words is "nine hundred one million, five hundred thirteen thousand, three hundred sixty-eight".