901253952 has 224 divisors, whose sum is σ = 2759293440. Its totient is φ = 291879936.

The previous prime is 901253939. The next prime is 901253953. The reversal of 901253952 is 259352109.

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 not an unprimeable number, because it can be changed into a prime (901253953) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6578428 + ... + 6578564.

Almost surely, 2^901253952 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 901253952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1379646720).

901253952 is an abundant number, since it is smaller than the sum of its proper divisors (1858039488).

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

901253952 is an equidigital number, since it uses as much as digits as its factorization.

901253952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 901253952 is about 30020.8919254575. The cubic root of 901253952 is about 965.9375755348.

The spelling of 901253952 in words is "nine hundred one million, two hundred fifty-three thousand, nine hundred fifty-two".