2513001667 has 16 divisors (see below), whose sum is σ = 2767010400. Its totient is φ = 2263334400.

The previous prime is 2513001661. The next prime is 2513001683. The reversal of 2513001667 is 7661003152.

2513001667 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2513001667 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2513001661) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 707917 + ... + 711457.

It is an arithmetic number, because the mean of its divisors is an integer number (172938150).

Almost surely, 2^2513001667 is an apocalyptic number.

2513001667 is a deficient number, since it is larger than the sum of its proper divisors (254008733).

2513001667 is a wasteful number, since it uses less digits than its factorization.

2513001667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4134.

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 2513001667 is about 50129.8480648007. The cubic root of 2513001667 is about 1359.5575382669.

The spelling of 2513001667 in words is "two billion, five hundred thirteen million, one thousand, six hundred sixty-seven".