252664461 has 32 divisors (see below), whose sum is σ = 433675520. Its totient is φ = 142394112.

The previous prime is 252664351. The next prime is 252664463. The reversal of 252664461 is 164466252.

252664461 is a `hidden beast` number, since 2 + 5 + 2 + 6 + 644 + 6 + 1 = 666.

It is not a de Polignac number, because 252664461 - 2⁹ = 252663949 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252664463) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4641 + ... + 22953.

It is an arithmetic number, because the mean of its divisors is an integer number (13552360).

Almost surely, 2^252664461 is an apocalyptic number.

252664461 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

252664461 is a deficient number, since it is larger than the sum of its proper divisors (181011059).

252664461 is a wasteful number, since it uses less digits than its factorization.

252664461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18402 (or 18396 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 252664461 is about 15895.4226430127. The cubic root of 252664461 is about 632.1906279161.

The spelling of 252664461 in words is "two hundred fifty-two million, six hundred sixty-four thousand, four hundred sixty-one".