381252513 has 16 divisors (see below), whose sum is σ = 517809600. Its totient is φ = 249446400.

The previous prime is 381252511. The next prime is 381252517. The reversal of 381252513 is 315252183.

It is not a de Polignac number, because 381252513 - 2¹ = 381252511 is a prime.

It is a super-3 number, since 3×381252513³ (a number of 27 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (381252511) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134713 + ... + 137513.

It is an arithmetic number, because the mean of its divisors is an integer number (32363100).

Almost surely, 2^381252513 is an apocalyptic number.

It is an amenable number.

381252513 is a deficient number, since it is larger than the sum of its proper divisors (136557087).

381252513 is a wasteful number, since it uses less digits than its factorization.

381252513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3632.

The product of its digits is 7200, while the sum is 30.

The square root of 381252513 is about 19525.6885409964. The cubic root of 381252513 is about 725.1105740187.

The spelling of 381252513 in words is "three hundred eighty-one million, two hundred fifty-two thousand, five hundred thirteen".