1353132513 has 16 divisors (see below), whose sum is σ = 2058821760. Its totient is φ = 877706928.

The previous prime is 1353132503. The next prime is 1353132523. The reversal of 1353132513 is 3152313531.

1353132513 is a `hidden beast` number, since 13 + 5 + 3 + 132 + 513 = 666.

It is an interprime number because it is at equal distance from previous prime (1353132503) and next prime (1353132523).

It is not a de Polignac number, because 1353132513 - 2⁴ = 1353132497 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1353132503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 676245 + ... + 678242.

It is an arithmetic number, because the mean of its divisors is an integer number (128676360).

Almost surely, 2^1353132513 is an apocalyptic number.

It is an amenable number.

1353132513 is a deficient number, since it is larger than the sum of its proper divisors (705689247).

1353132513 is a wasteful number, since it uses less digits than its factorization.

1353132513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354533 (or 1354527 counting only the distinct ones).

The product of its digits is 4050, while the sum is 27.

The square root of 1353132513 is about 36784.9495446167. The cubic root of 1353132513 is about 1106.0636245631.

The spelling of 1353132513 in words is "one billion, three hundred fifty-three million, one hundred thirty-two thousand, five hundred thirteen".