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513997837 is a prime number
BaseRepresentation
bin11110101000101…
…111110000001101
31022211011210110221
4132220233300031
52023040412322
6123000431341
715510623653
oct3650576015
91284153427
10513997837
11244158201
12124178551
1382646542
144c39add3
15301d09c7
hex1ea2fc0d

513997837 has 2 divisors, whose sum is σ = 513997838. Its totient is φ = 513997836.

The previous prime is 513997817. The next prime is 513997903. The reversal of 513997837 is 738799315.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 403768836 + 110229001 = 20094^2 + 10499^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-513997837 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (513997817) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256998918 + 256998919.

It is an arithmetic number, because the mean of its divisors is an integer number (256998919).

Almost surely, 2513997837 is an apocalyptic number.

It is an amenable number.

513997837 is a deficient number, since it is larger than the sum of its proper divisors (1).

513997837 is an equidigital number, since it uses as much as digits as its factorization.

513997837 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1428840, while the sum is 52.

The square root of 513997837 is about 22671.5203945390. The cubic root of 513997837 is about 801.0391896258.

The spelling of 513997837 in words is "five hundred thirteen million, nine hundred ninety-seven thousand, eight hundred thirty-seven".