252010601 has 12 divisors (see below), whose sum is σ = 272774412. Its totient is φ = 232697088.

The previous prime is 252010579. The next prime is 252010613. The reversal of 252010601 is 106010252.

It can be written as a sum of positive squares in 6 ways, for example, as 95160025 + 156850576 = 9755^2 + 12524^2 .

It is not a de Polignac number, because 252010601 - 2⁶ = 252010537 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

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 252010601.

It is not an unprimeable number, because it can be changed into a prime (252010621) 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, 7091 + ... + 23543.

It is an arithmetic number, because the mean of its divisors is an integer number (22731201).

Almost surely, 2^252010601 is an apocalyptic number.

It is an amenable number.

252010601 is a deficient number, since it is larger than the sum of its proper divisors (20763811).

252010601 is a wasteful number, since it uses less digits than its factorization.

252010601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16540 (or 16523 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 252010601 is about 15874.8417629909. The cubic root of 252010601 is about 631.6448167483.

Adding to 252010601 its reverse (106010252), we get a palindrome (358020853).

The spelling of 252010601 in words is "two hundred fifty-two million, ten thousand, six hundred one".