7513825 has 24 divisors (see below), whose sum is σ = 10311840. Its totient is φ = 5385600.

The previous prime is 7513823. The next prime is 7513829. The reversal of 7513825 is 5283157.

7513825 = 16² + 17² + ... + 282².

It is not a de Polignac number, because 7513825 - 2¹ = 7513823 is a prime.

It is a super-2 number, since 2×7513825² = 112915132261250, which contains 22 as substring.

7513825 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (7513823) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24322 + ... + 24628.

It is an arithmetic number, because the mean of its divisors is an integer number (429660).

Almost surely, 2^7513825 is an apocalyptic number.

It is an amenable number.

7513825 is a deficient number, since it is larger than the sum of its proper divisors (2798015).

7513825 is a wasteful number, since it uses less digits than its factorization.

7513825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 412 counting only the distinct ones).

The product of its digits is 8400, while the sum is 31.

The square root of 7513825 is about 2741.1357135319. The cubic root of 7513825 is about 195.8635816663.

It can be divided in two parts, 7513 and 825, that added together give a palindrome (8338).

The spelling of 7513825 in words is "seven million, five hundred thirteen thousand, eight hundred twenty-five".