3416563516261 has 32 divisors (see below), whose sum is σ = 4037548802048. Its totient is φ = 2829133681920.

The previous prime is 3416563516169. The next prime is 3416563516307. The reversal of 3416563516261 is 1626153656143.

3416563516261 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3416563516261 - 2¹⁵ = 3416563483493 is a prime.

It is a super-2 number, since 2×3416563516261² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3416563516061) 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, 652885501 + ... + 652890733.

It is an arithmetic number, because the mean of its divisors is an integer number (126173400064).

Almost surely, 2^{3416563516261} is an apocalyptic number.

3416563516261 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

3416563516261 is a deficient number, since it is larger than the sum of its proper divisors (620985285787).

3416563516261 is a wasteful number, since it uses less digits than its factorization.

3416563516261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9881.

The product of its digits is 2332800, while the sum is 49.

The spelling of 3416563516261 in words is "three trillion, four hundred sixteen billion, five hundred sixty-three million, five hundred sixteen thousand, two hundred sixty-one".