1405513993 has 8 divisors (see below), whose sum is σ = 1538444936. Its totient is φ = 1276128000.

The previous prime is 1405513987. The next prime is 1405514003. The reversal of 1405513993 is 3993155041.

It can be written as a sum of positive squares in 4 ways, for example, as 248629824 + 1156884169 = 15768^2 + 34013^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1405513993 - 2⁹ = 1405513481 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1405513393) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 885408 + ... + 886993.

It is an arithmetic number, because the mean of its divisors is an integer number (192305617).

Almost surely, 2^1405513993 is an apocalyptic number.

1405513993 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1405513993 is a deficient number, since it is larger than the sum of its proper divisors (132930943).

1405513993 is a wasteful number, since it uses less digits than its factorization.

1405513993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1772475.

The product of its (nonzero) digits is 72900, while the sum is 40.

The square root of 1405513993 is about 37490.1852889526. The cubic root of 1405513993 is about 1120.1556950326.

The spelling of 1405513993 in words is "one billion, four hundred five million, five hundred thirteen thousand, nine hundred ninety-three".