507960001 has 4 divisors (see below), whose sum is σ = 508007812. Its totient is φ = 507912192.

The previous prime is 507959987. The next prime is 507960023. The reversal of 507960001 is 100069705.

It is a happy number.

507960001 is a nontrivial binomial coefficient, being equal to C(31874, 2).

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 231070401 + 276889600 = 15201^2 + 16640^2 .

It is a 3-Lehmer number, since φ(507960001) divides (507960001-1)³.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-507960001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (507960091) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1 + ... + 31873.

It is an arithmetic number, because the mean of its divisors is an integer number (127001953).

It is a Poulet number, since it divides 2^507960000-1.

Almost surely, 2^507960001 is an apocalyptic number.

507960001 is the 31873-rd triangular number and also the 15937-th hexagonal number.

507960001 is the 10625-th centered nonagonal number.

It is an amenable number.

507960001 is a deficient number, since it is larger than the sum of its proper divisors (47811).

507960001 is a wasteful number, since it uses less digits than its factorization.

507960001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47810.

The product of its (nonzero) digits is 1890, while the sum is 28.

The square root of 507960001 is about 22537.9679873763. The cubic root of 507960001 is about 797.8902750708.

The spelling of 507960001 in words is "five hundred seven million, nine hundred sixty thousand, one".