513211322001 has 48 divisors (see below), whose sum is σ = 798558089280. Its totient is φ = 292322701440.

The previous prime is 513211321999. The next prime is 513211322003. The reversal of 513211322001 is 100223112315.

It is an interprime number because it is at equal distance from previous prime (513211321999) and next prime (513211322003).

It is not a de Polignac number, because 513211322001 - 2¹ = 513211321999 is a prime.

It is a super-2 number, since 2×513211322001² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (513211322003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 138367335 + ... + 138371043.

It is an arithmetic number, because the mean of its divisors is an integer number (16636626860).

Almost surely, 2^513211322001 is an apocalyptic number.

It is an amenable number.

513211322001 is a deficient number, since it is larger than the sum of its proper divisors (285346767279).

513211322001 is a wasteful number, since it uses less digits than its factorization.

513211322001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6494 (or 6487 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

Adding to 513211322001 its reverse (100223112315), we get a palindrome (613434434316).

The spelling of 513211322001 in words is "five hundred thirteen billion, two hundred eleven million, three hundred twenty-two thousand, one".