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13053137 = 711571171
BaseRepresentation
bin110001110010…
…110011010001
3220120011112112
4301302303101
511320200022
61143435105
7215643536
oct61626321
926504475
1013053137
117406019
124455a95
132920466
141a3ad8d
15122c8e2
hexc72cd1

13053137 has 8 divisors (see below), whose sum is σ = 13332672. Its totient is φ = 12776400.

The previous prime is 13053097. The next prime is 13053143. The reversal of 13053137 is 73135031.

It is a happy number.

13053137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 13053137 - 210 = 13052113 is a prime.

It is a super-4 number, since 4×130531374 (a number of 30 digits) contains 4444 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13053737) 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, 10562 + ... + 11732.

It is an arithmetic number, because the mean of its divisors is an integer number (1666584).

Almost surely, 213053137 is an apocalyptic number.

It is an amenable number.

13053137 is a deficient number, since it is larger than the sum of its proper divisors (279535).

13053137 is a wasteful number, since it uses less digits than its factorization.

13053137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1399.

The product of its (nonzero) digits is 945, while the sum is 23.

The square root of 13053137 is about 3612.9125369984. The cubic root of 13053137 is about 235.4533996022.

Adding to 13053137 its reverse (73135031), we get a palindrome (86188168).

The spelling of 13053137 in words is "thirteen million, fifty-three thousand, one hundred thirty-seven".

Divisors: 1 71 157 1171 11147 83141 183847 13053137