526761 has 12 divisors (see below), whose sum is σ = 769392. Its totient is φ = 347256.

The previous prime is 526759. The next prime is 526763. The reversal of 526761 is 167625.

526761 = 10² + 11² + ... + 116².

It is an interprime number because it is at equal distance from previous prime (526759) and next prime (526763).

It is not a de Polignac number, because 526761 - 2¹ = 526759 is a prime.

It is a super-2 number, since 2×526761² = 554954302242, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (526763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 690 + ... + 1236.

It is an arithmetic number, because the mean of its divisors is an integer number (64116).

2⁵²⁶⁷⁶¹ is an apocalyptic number.

It is an amenable number.

526761 is a deficient number, since it is larger than the sum of its proper divisors (242631).

526761 is a wasteful number, since it uses less digits than its factorization.

526761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 657 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 526761 is about 725.7830254284. The cubic root of 526761 is about 80.7615299827.

The spelling of 526761 in words is "five hundred twenty-six thousand, seven hundred sixty-one".