2517165252 has 144 divisors (see below), whose sum is σ = 7450410240. Its totient is φ = 701685504.

The previous prime is 2517165181. The next prime is 2517165281. The reversal of 2517165252 is 2525617152.

It is a super-2 number, since 2×2517165252² = 12672241811752447008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3058113 + ... + 3058935.

It is an arithmetic number, because the mean of its divisors is an integer number (51738960).

Almost surely, 2^2517165252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2517165252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3725205120).

2517165252 is an abundant number, since it is smaller than the sum of its proper divisors (4933244988).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2517165252 is a wasteful number, since it uses less digits than its factorization.

2517165252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122 (or 1117 counting only the distinct ones).

The product of its digits is 42000, while the sum is 36.

The square root of 2517165252 is about 50171.3588813379. The cubic root of 2517165252 is about 1360.3079701919.

The spelling of 2517165252 in words is "two billion, five hundred seventeen million, one hundred sixty-five thousand, two hundred fifty-two".