252519840 has 72 divisors (see below), whose sum is σ = 861728868. Its totient is φ = 67338240.

The previous prime is 252519821. The next prime is 252519859. The reversal of 252519840 is 48915252.

252519840 is a `hidden beast` number, since 2 + 525 + 1 + 98 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (252519821) and next prime (252519859).

It can be written as a sum of positive squares in 2 ways, for example, as 243734544 + 8785296 = 15612^2 + 2964^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 252519795 and 252519804.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86241 + ... + 89120.

Almost surely, 2^252519840 is an apocalyptic number.

252519840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252519840 is an abundant number, since it is smaller than the sum of its proper divisors (609209028).

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

252519840 is a wasteful number, since it uses less digits than its factorization.

252519840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175382 (or 175371 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 252519840 is about 15890.8728520494. The cubic root of 252519840 is about 632.0699863744.

The spelling of 252519840 in words is "two hundred fifty-two million, five hundred nineteen thousand, eight hundred forty".