10147513 has 8 divisors (see below), whose sum is σ = 10362600. Its totient is φ = 9934848.

The previous prime is 10147507. The next prime is 10147519. The reversal of 10147513 is 31574101.

10147513 = 2252² + 2253².

It is an interprime number because it is at equal distance from previous prime (10147507) and next prime (10147519).

It can be written as a sum of positive squares in 4 ways, for example, as 394384 + 9753129 = 628^2 + 3123^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10147513 - 2⁵ = 10147481 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10147519) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9553 + ... + 10561.

It is an arithmetic number, because the mean of its divisors is an integer number (1295325).

Almost surely, 2^10147513 is an apocalyptic number.

10147513 is the 2253-rd centered square number.

It is an amenable number.

10147513 is a deficient number, since it is larger than the sum of its proper divisors (215087).

10147513 is a wasteful number, since it uses less digits than its factorization.

10147513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1211.

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 10147513 is about 3185.5161277256. The cubic root of 10147513 is about 216.4976593929.

The spelling of 10147513 in words is "ten million, one hundred forty-seven thousand, five hundred thirteen".