527890401306 has 24 divisors (see below), whose sum is σ = 1143777026964. Its totient is φ = 175961237760.

The previous prime is 527890401301. The next prime is 527890401307. The reversal of 527890401306 is 603104098725.

527890401306 is a `hidden beast` number, since 527 + 8 + 90 + 4 + 0 + 1 + 30 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 474879483225 + 53010918081 = 689115^2 + 230241^2 .

It is a super-4 number, since 4×527890401306⁴ (a number of 48 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (527890401301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1918800 + ... + 2176596.

It is a 1-persistent number, because it is pandigital, but 2⋅527890401306 = 1055780802612 is not.

Almost surely, 2^527890401306 is an apocalyptic number.

527890401306 is an abundant number, since it is smaller than the sum of its proper divisors (615886625658).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

527890401306 is a wasteful number, since it uses less digits than its factorization.

527890401306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371566 (or 371563 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 527890401306 in words is "five hundred twenty-seven billion, eight hundred ninety million, four hundred one thousand, three hundred six".