514380083415 has 32 divisors (see below), whose sum is σ = 897928243200. Its totient is φ = 249368296320.

The previous prime is 514380083389. The next prime is 514380083431.

It is a happy number.

514380083415 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 514380083415 - 2¹¹ = 514380081367 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1331866 + ... + 1674104.

It is an arithmetic number, because the mean of its divisors is an integer number (28060257600).

Almost surely, 2^514380083415 is an apocalyptic number.

514380083415 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

514380083415 is a deficient number, since it is larger than the sum of its proper divisors (383548159785).

514380083415 is a wasteful number, since it uses less digits than its factorization.

514380083415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351367.

The product of its (nonzero) digits is 230400, while the sum is 42.

The spelling of 514380083415 in words is "five hundred fourteen billion, three hundred eighty million, eighty-three thousand, four hundred fifteen".