31450405413 has 32 divisors (see below), whose sum is σ = 50090950656. Its totient is φ = 17161803648.

The previous prime is 31450405397. The next prime is 31450405429.

31450405413 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (31450405397) and next prime (31450405429).

It is not a de Polignac number, because 31450405413 - 2⁴ = 31450405397 is a prime.

It is a super-3 number, since 3×31450405413³ (a number of 32 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31450405463) 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, 239545 + ... + 346817.

It is an arithmetic number, because the mean of its divisors is an integer number (1565342208).

Almost surely, 2^31450405413 is an apocalyptic number.

It is an amenable number.

31450405413 is a deficient number, since it is larger than the sum of its proper divisors (18640545243).

31450405413 is a wasteful number, since it uses less digits than its factorization.

31450405413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107913.

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 31450405413 in words is "thirty-one billion, four hundred fifty million, four hundred five thousand, four hundred thirteen".