6553712025 has 135 divisors (see below), whose sum is σ = 14176900749. Its totient is φ = 2984325120.

The previous prime is 6553712017. The next prime is 6553712027. The reversal of 6553712025 is 5202173556.

The square root of 6553712025 is 80955.

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 1610497161 + 4943214864 = 40131^2 + 70308^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 6553712025 - 2³ = 6553712017 is a prime.

It is a super-2 number, since 2×6553712025² = 85902282613259201250, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6553712027) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 25500697 + ... + 25500953.

Almost surely, 2^6553712025 is an apocalyptic number.

6553712025 is the 80955-th square number.

6553712025 is the 40478-th centered octagonal number.

It is an amenable number.

6553712025 is an abundant number, since it is smaller than the sum of its proper divisors (7623188724).

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

6553712025 is an equidigital number, since it uses as much as digits as its factorization.

6553712025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The cubic root of 6553712025 is about 1871.3820152564.

Multiplying 6553712025 by its sum of digits (36), we get a square (235933632900 = 485730²).

The spelling of 6553712025 in words is "six billion, five hundred fifty-three million, seven hundred twelve thousand, twenty-five".