51345393 has 32 divisors (see below), whose sum is σ = 78630912. Its totient is φ = 29515200.

The previous prime is 51345379. The next prime is 51345409. The reversal of 51345393 is 39354315.

It is not a de Polignac number, because 51345393 - 2¹³ = 51337201 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (51345323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53746 + ... + 54692.

It is an arithmetic number, because the mean of its divisors is an integer number (2457216).

Almost surely, 2^51345393 is an apocalyptic number.

51345393 is a gapful number since it is divisible by the number (53) formed by its first and last digit.

It is an amenable number.

51345393 is a deficient number, since it is larger than the sum of its proper divisors (27285519).

51345393 is a wasteful number, since it uses less digits than its factorization.

51345393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045.

The product of its digits is 24300, while the sum is 33.

The square root of 51345393 is about 7165.5699703513. The cubic root of 51345393 is about 371.6782612384.

The spelling of 51345393 in words is "fifty-one million, three hundred forty-five thousand, three hundred ninety-three".