2625978117169 has 27 divisors (see below), whose sum is σ = 2906152119129. Its totient is φ = 2371031758920.

The previous prime is 2625978117157. The next prime is 2625978117277. The reversal of 2625978117169 is 9617118795262.

The square root of 2625978117169 is 1620487.

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

It is not a de Polignac number, because 2625978117169 - 2⁵ = 2625978117137 is a prime.

It is a super-2 number, since 2×2625978117169² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2625978117169.

It is not an unprimeable number, because it can be changed into a prime (2625978127169) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3190738492 + ... + 3190739314.

Almost surely, 2^{2625978117169} is an apocalyptic number.

2625978117169 is the 1620487-th square number.

2625978117169 is the 810244-th centered octagonal number.

It is an amenable number.

2625978117169 is a deficient number, since it is larger than the sum of its proper divisors (280174001960).

2625978117169 is an frugal number, since it uses more digits than its factorization.

2625978117169 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2026 (or 1013 counting only the distinct ones).

The product of its digits is 22861440, while the sum is 64.

Multiplying 2625978117169 by its sum of digits (64), we get a square (168062599498816 = 12963896²).

The spelling of 2625978117169 in words is "two trillion, six hundred twenty-five billion, nine hundred seventy-eight million, one hundred seventeen thousand, one hundred sixty-nine".