2969021917225 has 135 divisors (see below), whose sum is σ = 4659334875279. Its totient is φ = 1875819254400.

The previous prime is 2969021917217. The next prime is 2969021917271. The reversal of 2969021917225 is 5227191209692.

The square root of 2969021917225 is 1723085.

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

It can be written as a sum of positive squares in 13 ways, for example, as 2903196831129 + 65825086096 = 1703877^2 + 256564^2 .

It is not a de Polignac number, because 2969021917225 - 2³ = 2969021917217 is a prime.

It is a super-2 number, since 2×2969021917225² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 5488025455 + ... + 5488025995.

Almost surely, 2^{2969021917225} is an apocalyptic number.

2969021917225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2969021917225 is the 1723085-th square number.

2969021917225 is the 861543-rd centered octagonal number.

It is an amenable number.

2969021917225 is a deficient number, since it is larger than the sum of its proper divisors (1690312958054).

2969021917225 is an frugal number, since it uses more digits than its factorization.

2969021917225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 55.

The spelling of 2969021917225 in words is "two trillion, nine hundred sixty-nine billion, twenty-one million, nine hundred seventeen thousand, two hundred twenty-five".