7671132225 has 27 divisors (see below), whose sum is σ = 13742203683. Its totient is φ = 4090569840.

The previous prime is 7671132211. The next prime is 7671132283. The reversal of 7671132225 is 5222311767.

The square root of 7671132225 is 87585.

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., 2761607601 + 4909524624 = 52551^2 + 70068^2 .

It is not a de Polignac number, because 7671132225 - 2⁵ = 7671132193 is a prime.

It is a super-2 number, since 2×7671132225² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 7671132225.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1310856 + ... + 1316694.

Almost surely, 2^7671132225 is an apocalyptic number.

7671132225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

7671132225 is the 87585-th square number.

7671132225 is the 43793-rd centered octagonal number.

It is an amenable number.

7671132225 is a deficient number, since it is larger than the sum of its proper divisors (6071071458).

7671132225 is an frugal number, since it uses more digits than its factorization.

7671132225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11694 (or 5847 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The cubic root of 7671132225 is about 1972.2099984724.

Multiplying 7671132225 by its sum of digits (36), we get a square (276160760100 = 525510²).

The spelling of 7671132225 in words is "seven billion, six hundred seventy-one million, one hundred thirty-two thousand, two hundred twenty-five".