83963755225 has 81 divisors (see below), whose sum is σ = 128921555133. Its totient is φ = 54077103360.

The previous prime is 83963755201. The next prime is 83963755297. The reversal of 83963755225 is 52255736938.

It is a happy number.

The square root of 83963755225 is 289765.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1963996489 + 81999758736 = 44317^2 + 286356^2 .

It is not a de Polignac number, because 83963755225 - 2²⁵ = 83930200793 is a prime.

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, 172409932 + ... + 172410418.

Almost surely, 2^83963755225 is an apocalyptic number.

83963755225 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

83963755225 is the 289765-th square number.

83963755225 is the 144883-rd centered octagonal number.

It is an amenable number.

83963755225 is a deficient number, since it is larger than the sum of its proper divisors (44957799908).

83963755225 is an equidigital number, since it uses as much as digits as its factorization.

83963755225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032 (or 516 counting only the distinct ones).

The product of its digits is 13608000, while the sum is 55.

The spelling of 83963755225 in words is "eighty-three billion, nine hundred sixty-three million, seven hundred fifty-five thousand, two hundred twenty-five".