820751013 has 6 divisors (see below), whose sum is σ = 1185529254. Its totient is φ = 547167336.

The previous prime is 820750993. The next prime is 820751033. The reversal of 820751013 is 310157028.

It is an interprime number because it is at equal distance from previous prime (820750993) and next prime (820751033).

It can be written as a sum of positive squares in only one way, i.e., 666569124 + 154181889 = 25818^2 + 12417^2 .

It is not a de Polignac number, because 820751013 - 2⁶ = 820750949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820751033) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 45597270 + ... + 45597287.

It is an arithmetic number, because the mean of its divisors is an integer number (197588209).

Almost surely, 2^820751013 is an apocalyptic number.

It is an amenable number.

820751013 is a deficient number, since it is larger than the sum of its proper divisors (364778241).

820751013 is a wasteful number, since it uses less digits than its factorization.

820751013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91194563 (or 91194560 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 820751013 is about 28648.7523812120. The cubic root of 820751013 is about 936.2758234069.

The spelling of 820751013 in words is "eight hundred twenty million, seven hundred fifty-one thousand, thirteen".