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512122013 = 13120132801
BaseRepresentation
bin11110100001100…
…101110010011101
31022200122111022222
4132201211302131
52022100401023
6122452315125
715455652044
oct3641456235
91280574288
10512122013
11243096937
12123612aa5
138213a7a0
144c02d55b
152ee5ecc8
hex1e865c9d

512122013 has 8 divisors (see below), whose sum is σ = 551992056. Its totient is φ = 472320000.

The previous prime is 512121983. The next prime is 512122019. The reversal of 512122013 is 310221215.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 65983129 + 446138884 = 8123^2 + 21122^2 .

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 512122013 - 26 = 512121949 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 512121982 and 512122000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512122019) 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, 788 + ... + 32013.

It is an arithmetic number, because the mean of its divisors is an integer number (68999007).

Almost surely, 2512122013 is an apocalyptic number.

It is an amenable number.

512122013 is a deficient number, since it is larger than the sum of its proper divisors (39870043).

512122013 is a wasteful number, since it uses less digits than its factorization.

512122013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34015.

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 512122013 is about 22630.1129692275. The cubic root of 512122013 is about 800.0635433902.

Adding to 512122013 its reverse (310221215), we get a palindrome (822343228).

The spelling of 512122013 in words is "five hundred twelve million, one hundred twenty-two thousand, thirteen".

Divisors: 1 13 1201 15613 32801 426413 39394001 512122013