735091890625 has 49 divisors (see below), whose sum is σ = 969900495271. Its totient is φ = 557122275000.

The previous prime is 735091890607. The next prime is 735091890679. The reversal of 735091890625 is 526098190537.

The square root of 735091890625 is 857375.

The cubic root of 735091890625 is 9025.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 644011065009 + 91080825616 = 802503^2 + 301796^2 .

It is not a de Polignac number, because 735091890625 - 2²⁵ = 735058336193 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 48 ways as a sum of consecutive naturals, for example, 38689046866 + ... + 38689046884.

Almost surely, 2^735091890625 is an apocalyptic number.

735091890625 is the 857375-th square number.

735091890625 is the 428688-th centered octagonal number.

It is an amenable number.

735091890625 is a deficient number, since it is larger than the sum of its proper divisors (234808604646).

735091890625 is an frugal number, since it uses more digits than its factorization.

735091890625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 55.

The spelling of 735091890625 in words is "seven hundred thirty-five billion, ninety-one million, eight hundred ninety thousand, six hundred twenty-five".