962979129225 has 81 divisors (see below), whose sum is σ = 1791789673063. Its totient is φ = 513376904880.

The previous prime is 962979129179. The next prime is 962979129251. The reversal of 962979129225 is 522921979269.

The square root of 962979129225 is 981315.

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., 346672486521 + 616306642704 = 588789^2 + 785052^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is a de Polignac number, because none of the positive numbers 2^k-962979129225 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, 397431364 + ... + 397433786.

Almost surely, 2^962979129225 is an apocalyptic number.

962979129225 is the 981315-th square number.

962979129225 is the 490658-th centered octagonal number.

It is an amenable number.

962979129225 is a deficient number, since it is larger than the sum of its proper divisors (828810543838).

962979129225 is an frugal number, since it uses more digits than its factorization.

962979129225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4880 (or 2431 counting only the distinct ones).

The product of its digits is 22044960, while the sum is 63.

The spelling of 962979129225 in words is "nine hundred sixty-two billion, nine hundred seventy-nine million, one hundred twenty-nine thousand, two hundred twenty-five".