82752000413 has 2 divisors, whose sum is σ = 82752000414. Its totient is φ = 82752000412.

The previous prime is 82752000347. The next prime is 82752000469. The reversal of 82752000413 is 31400025728.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 59096637604 + 23655362809 = 243098^2 + 153803^2 .

It is a cyclic number.

It is not a de Polignac number, because 82752000413 - 2⁸ = 82752000157 is a prime.

It is a super-3 number, since 3×82752000413³ (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 82752000413.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82752000473) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41376000206 + 41376000207.

It is an arithmetic number, because the mean of its divisors is an integer number (41376000207).

Almost surely, 2^82752000413 is an apocalyptic number.

It is an amenable number.

82752000413 is a deficient number, since it is larger than the sum of its proper divisors (1).

82752000413 is an equidigital number, since it uses as much as digits as its factorization.

82752000413 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13440, while the sum is 32.

The spelling of 82752000413 in words is "eighty-two billion, seven hundred fifty-two million, four hundred thirteen", and thus it is an aban number.