7528131 has 36 divisors (see below), whose sum is σ = 12291552. Its totient is φ = 4411584.

The previous prime is 7528121. The next prime is 7528141. The reversal of 7528131 is 1318257.

7528131 is a `hidden beast` number, since 7 + 528 + 131 = 666.

It is an interprime number because it is at equal distance from previous prime (7528121) and next prime (7528141).

It is a de Polignac number, because none of the positive numbers 2^k-7528131 is a prime.

It is a super-2 number, since 2×7528131² = 113345512706322, which contains 22 as substring.

Its product of digits (1680) is a multiple of the sum of its prime factors (140).

7528131 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 7528095 and 7528104.

It is not an unprimeable number, because it can be changed into a prime (7528111) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 160150 + ... + 160196.

It is an arithmetic number, because the mean of its divisors is an integer number (341432).

Almost surely, 2^7528131 is an apocalyptic number.

7528131 is a deficient number, since it is larger than the sum of its proper divisors (4763421).

7528131 is a wasteful number, since it uses less digits than its factorization.

7528131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 100 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 7528131 is about 2743.7439749364. The cubic root of 7528131 is about 195.9878081407.

The spelling of 7528131 in words is "seven million, five hundred twenty-eight thousand, one hundred thirty-one".