7052535 has 64 divisors (see below), whose sum is σ = 15206400. Its totient is φ = 3027456.

The previous prime is 7052519. The next prime is 7052543. The reversal of 7052535 is 5352507.

7052535 = 245² + 246² + ... + 329².

It is not a de Polignac number, because 7052535 - 2⁴ = 7052519 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

7052535 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 7052499 and 7052508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15846 + ... + 16284.

It is an arithmetic number, because the mean of its divisors is an integer number (237600).

Almost surely, 2^7052535 is an apocalyptic number.

7052535 is an abundant number, since it is smaller than the sum of its proper divisors (8153865).

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

7052535 is a wasteful number, since it uses less digits than its factorization.

7052535 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 5250, while the sum is 27.

The square root of 7052535 is about 2655.6609346827. The cubic root of 7052535 is about 191.7704776849.

It can be divided in two parts, 705 and 2535, that added together give a triangular number (3240 = T₈₀).

The spelling of 7052535 in words is "seven million, fifty-two thousand, five hundred thirty-five".