901165056 has 208 divisors, whose sum is σ = 2689269120. Its totient is φ = 266076160.

The previous prime is 901164991. The next prime is 901165063. The reversal of 901165056 is 650561109.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nialpdrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7974856 + ... + 7974968.

Almost surely, 2^901165056 is an apocalyptic number.

901165056 is a gapful number since it is divisible by the number (96) 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 901165056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344634560).

901165056 is an abundant number, since it is smaller than the sum of its proper divisors (1788104064).

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

901165056 is a wasteful number, since it uses less digits than its factorization.

901165056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 33.

The square root of 901165056 is about 30019.4113200109. The cubic root of 901165056 is about 965.9058157813.

The spelling of 901165056 in words is "nine hundred one million, one hundred sixty-five thousand, fifty-six".