920093416225 has 81 divisors (see below), whose sum is σ = 1261627787763. Its totient is φ = 665495693280.

The previous prime is 920093416219. The next prime is 920093416237. The reversal of 920093416225 is 522614390029.

The square root of 920093416225 is 959215.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 331233629841 + 588859786384 = 575529^2 + 767372^2 .

It is not a de Polignac number, because 920093416225 - 2¹⁹ = 920092891937 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2095884556 + ... + 2095884994.

Almost surely, 2^920093416225 is an apocalyptic number.

920093416225 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

920093416225 is the 959215-th square number.

920093416225 is the 479608-th centered octagonal number.

It is an amenable number.

920093416225 is a deficient number, since it is larger than the sum of its proper divisors (341534371538).

920093416225 is an equidigital number, since it uses as much as digits as its factorization.

920093416225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 43.

The spelling of 920093416225 in words is "nine hundred twenty billion, ninety-three million, four hundred sixteen thousand, two hundred twenty-five".