407513 has 4 divisors (see below), whose sum is σ = 414480. Its totient is φ = 400548.

The previous prime is 407509. The next prime is 407521. The reversal of 407513 is 315704.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 407513 - 2² = 407509 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (407503) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3395 + ... + 3512.

It is an arithmetic number, because the mean of its divisors is an integer number (103620).

2⁴⁰⁷⁵¹³ is an apocalyptic number.

It is an amenable number.

407513 is a deficient number, since it is larger than the sum of its proper divisors (6967).

407513 is an equidigital number, since it uses as much as digits as its factorization.

407513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6966.

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 407513 is about 638.3674490448. The cubic root of 407513 is about 74.1390737458.

Subtracting from 407513 its reverse (315704), we obtain a square (91809 = 303²).

It can be divided in two parts, 4075 and 13, that multiplied together give a triangular number (52975 = T₃₂₅).

The spelling of 407513 in words is "four hundred seven thousand, five hundred thirteen".