901521900 has 180 divisors, whose sum is σ = 3094755048. Its totient is φ = 226229760.

The previous prime is 901521871. The next prime is 901521913. The reversal of 901521900 is 9125109.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×901521900² = 1625483472359220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 134427 + ... + 140973.

Almost surely, 2^901521900 is an apocalyptic number.

901521900 is a gapful number since it is divisible by the number (90) 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 901521900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547377524).

901521900 is an abundant number, since it is smaller than the sum of its proper divisors (2193233148).

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

901521900 is a wasteful number, since it uses less digits than its factorization.

901521900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6590 (or 6574 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 27.

The square root of 901521900 is about 30025.3542860030. The cubic root of 901521900 is about 966.0332923212.

The spelling of 901521900 in words is "nine hundred one million, five hundred twenty-one thousand, nine hundred".