381513 has 12 divisors (see below), whose sum is σ = 559664. Its totient is φ = 231000.

The previous prime is 381509. The next prime is 381523. The reversal of 381513 is 315183.

It is a happy number.

It is not a de Polignac number, because 381513 - 2² = 381509 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 381513.

It is not an unprimeable number, because it can be changed into a prime (381523) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 163 + ... + 888.

2³⁸¹⁵¹³ is an apocalyptic number.

381513 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

381513 is a deficient number, since it is larger than the sum of its proper divisors (178151).

381513 is a wasteful number, since it uses less digits than its factorization.

381513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076 (or 1065 counting only the distinct ones).

The product of its digits is 360, while the sum is 21.

The square root of 381513 is about 617.6673862201. The cubic root of 381513 is about 72.5275677960.

Adding to 381513 its reverse (315183), we get a palindrome (696696).

It can be divided in two parts, 3815 and 13, that added together give a triangular number (3828 = T₈₇).

The spelling of 381513 in words is "three hundred eighty-one thousand, five hundred thirteen".