513048840315 has 16 divisors (see below), whose sum is σ = 895503430656. Its totient is φ = 248750952800.

The previous prime is 513048840253. The next prime is 513048840319.

It is a happy number.

513048840315 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 513048840315 - 2¹³ = 513048832123 is a prime.

It is a super-2 number, since 2×513048840315² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (513048840319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1554693291 + ... + 1554693620.

It is an arithmetic number, because the mean of its divisors is an integer number (55968964416).

Almost surely, 2^513048840315 is an apocalyptic number.

513048840315 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

513048840315 is a deficient number, since it is larger than the sum of its proper divisors (382454590341).

513048840315 is a wasteful number, since it uses less digits than its factorization.

513048840315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3109386930.

The product of its (nonzero) digits is 230400, while the sum is 42.

The spelling of 513048840315 in words is "five hundred thirteen billion, forty-eight million, eight hundred forty thousand, three hundred fifteen".