412057013301 has 20 divisors (see below), whose sum is σ = 615589805292. Its totient is φ = 274683322368.

The previous prime is 412057013287. The next prime is 412057013311. The reversal of 412057013301 is 103310750214.

412057013301 is a `hidden beast` number, since 41 + 20 + 570 + 1 + 3 + 30 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 265158054225 + 146898959076 = 514935^2 + 383274^2 .

It is not a de Polignac number, because 412057013301 - 2¹³ = 412057005109 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412057013311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 887295 + ... + 1269411.

Almost surely, 2^412057013301 is an apocalyptic number.

It is an amenable number.

412057013301 is a deficient number, since it is larger than the sum of its proper divisors (203532791991).

412057013301 is a wasteful number, since it uses less digits than its factorization.

412057013301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395442 (or 395433 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

Adding to 412057013301 its reverse (103310750214), we get a palindrome (515367763515).

The spelling of 412057013301 in words is "four hundred twelve billion, fifty-seven million, thirteen thousand, three hundred one".