7305025133961 has 21 divisors (see below), whose sum is σ = 10952636809309. Its totient is φ = 4869968105916.

The previous prime is 7305025133951. The next prime is 7305025133981. The reversal of 7305025133961 is 1693315205037.

The square root of 7305025133961 is 2702781.

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

7305025133961 is a `hidden beast` number, since 7 + 3 + 0 + 5 + 0 + 251 + 3 + 396 + 1 = 666.

It is not a de Polignac number, because 7305025133961 - 2⁵ = 7305025133929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7305025133951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 72925036 + ... + 73025138.

Almost surely, 2^{7305025133961} is an apocalyptic number.

7305025133961 is the 2702781-st square number.

7305025133961 is the 1351391-st centered octagonal number.

It is an amenable number.

7305025133961 is a deficient number, since it is larger than the sum of its proper divisors (3647611675348).

7305025133961 is an frugal number, since it uses more digits than its factorization.

7305025133961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200224 (or 100106 counting only the distinct ones).

The product of its (nonzero) digits is 510300, while the sum is 45.

The spelling of 7305025133961 in words is "seven trillion, three hundred five billion, twenty-five million, one hundred thirty-three thousand, nine hundred sixty-one".