252106519 has 12 divisors (see below), whose sum is σ = 306018864. Its totient is φ = 206695104.

The previous prime is 252106511. The next prime is 252106579. The reversal of 252106519 is 915601252.

It is not a de Polignac number, because 252106519 - 2³ = 252106511 is a prime.

It is a super-2 number, since 2×252106519² = 127115393844594722, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252106511) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 110722 + ... + 112975.

It is an arithmetic number, because the mean of its divisors is an integer number (25501572).

Almost surely, 2^252106519 is an apocalyptic number.

252106519 is a deficient number, since it is larger than the sum of its proper divisors (53912345).

252106519 is a wasteful number, since it uses less digits than its factorization.

252106519 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223734 (or 223727 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 31.

The square root of 252106519 is about 15877.8625450657. The cubic root of 252106519 is about 631.7249435662.

The spelling of 252106519 in words is "two hundred fifty-two million, one hundred six thousand, five hundred nineteen".