10007613 has 36 divisors (see below), whose sum is σ = 18353088. Its totient is φ = 5196240.

The previous prime is 10007593. The next prime is 10007653. The reversal of 10007613 is 31670001.

10007613 is digitally balanced in base 2, base 3, base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10007613 - 2¹² = 10003517 is a prime.

10007613 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10007653) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3820 + ... + 5882.

It is an arithmetic number, because the mean of its divisors is an integer number (509808).

Almost surely, 2^10007613 is an apocalyptic number.

It is an amenable number.

10007613 is a deficient number, since it is larger than the sum of its proper divisors (8345475).

10007613 is a wasteful number, since it uses less digits than its factorization.

10007613 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2094 (or 2084 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 10007613 is about 3163.4811521487. The cubic root of 10007613 is about 215.4981275060.

Adding to 10007613 its reverse (31670001), we get a palindrome (41677614).

The spelling of 10007613 in words is "ten million, seven thousand, six hundred thirteen".