525764346406563 has 32 divisors (see below), whose sum is σ = 813054626588160. Its totient is φ = 299040153251840.

The previous prime is 525764346406511. The next prime is 525764346406567. The reversal of 525764346406563 is 365604643467525.

It is a happy number.

It is not a de Polignac number, because 525764346406563 - 2¹³ = 525764346398371 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 525764346406494 and 525764346406503.

It is not an unprimeable number, because it can be changed into a prime (525764346406567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6534928158 + ... + 6535008611.

It is an arithmetic number, because the mean of its divisors is an integer number (25407957080880).

Almost surely, 2^{525764346406563} is an apocalyptic number.

525764346406563 is a gapful number since it is divisible by the number (53) formed by its first and last digit.

525764346406563 is a deficient number, since it is larger than the sum of its proper divisors (287290280181597).

525764346406563 is a wasteful number, since it uses less digits than its factorization.

525764346406563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13069936859.

The product of its (nonzero) digits is 1306368000, while the sum is 66.

The spelling of 525764346406563 in words is "five hundred twenty-five trillion, seven hundred sixty-four billion, three hundred forty-six million, four hundred six thousand, five hundred sixty-three".