1351416906 has 64 divisors (see below), whose sum is σ = 3459317760. Its totient is φ = 383065200.

The previous prime is 1351416893. The next prime is 1351416919. The reversal of 1351416906 is 6096141531.

It is an interprime number because it is at equal distance from previous prime (1351416893) and next prime (1351416919).

It is a super-2 number, since 2×1351416906² = 3652655307645225672, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33931 + ... + 62081.

It is an arithmetic number, because the mean of its divisors is an integer number (54051840).

Almost surely, 2^1351416906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1351416906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1729658880).

1351416906 is an abundant number, since it is smaller than the sum of its proper divisors (2107900854).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1351416906 is a wasteful number, since it uses less digits than its factorization.

1351416906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28296 (or 28290 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 1351416906 is about 36761.6227334975. The cubic root of 1351416906 is about 1105.5959756062.

The spelling of 1351416906 in words is "one billion, three hundred fifty-one million, four hundred sixteen thousand, nine hundred six".