1353516090 has 16 divisors (see below), whose sum is σ = 3248438688. Its totient is φ = 360937616.

The previous prime is 1353516083. The next prime is 1353516107. The reversal of 1353516090 is 906153531.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22558572 + ... + 22558631.

It is an arithmetic number, because the mean of its divisors is an integer number (203027418).

Almost surely, 2^1353516090 is an apocalyptic number.

1353516090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1353516090 is an abundant number, since it is smaller than the sum of its proper divisors (1894922598).

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

1353516090 is a wasteful number, since it uses less digits than its factorization.

1353516090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45117213.

The product of its (nonzero) digits is 12150, while the sum is 33.

The square root of 1353516090 is about 36790.1629515282. The cubic root of 1353516090 is about 1106.1681278743.

The spelling of 1353516090 in words is "one billion, three hundred fifty-three million, five hundred sixteen thousand, ninety".