1405135901 has 32 divisors (see below), whose sum is σ = 1635355008. Its totient is φ = 1195776000.

The previous prime is 1405135891. The next prime is 1405135909. The reversal of 1405135901 is 1095315041.

It is a cyclic number.

It is not a de Polignac number, because 1405135901 - 2²⁶ = 1338027037 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1405135909) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4049210 + ... + 4049556.

It is an arithmetic number, because the mean of its divisors is an integer number (51104844).

Almost surely, 2^1405135901 is an apocalyptic number.

It is an amenable number.

1405135901 is a deficient number, since it is larger than the sum of its proper divisors (230219107).

1405135901 is a wasteful number, since it uses less digits than its factorization.

1405135901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701.

The product of its (nonzero) digits is 2700, while the sum is 29.

The square root of 1405135901 is about 37485.1424033576. The cubic root of 1405135901 is about 1120.0552430766.

The spelling of 1405135901 in words is "one billion, four hundred five million, one hundred thirty-five thousand, nine hundred one".