1353114541 has 16 divisors (see below), whose sum is σ = 1496880000. Its totient is φ = 1216619008.

The previous prime is 1353114533. The next prime is 1353114547. The reversal of 1353114541 is 1454113531.

It is not a de Polignac number, because 1353114541 - 2³ = 1353114533 is a prime.

It is a super-2 number, since 2×1353114541² = 3661837922131281362, which 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 (1353114547) 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, 408510 + ... + 411808.

It is an arithmetic number, because the mean of its divisors is an integer number (93555000).

Almost surely, 2^1353114541 is an apocalyptic number.

It is an amenable number.

1353114541 is a deficient number, since it is larger than the sum of its proper divisors (143765459).

1353114541 is a wasteful number, since it uses less digits than its factorization.

1353114541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4388.

The product of its digits is 3600, while the sum is 28.

The square root of 1353114541 is about 36784.7052591155. The cubic root of 1353114541 is about 1106.0587277125.

The spelling of 1353114541 in words is "one billion, three hundred fifty-three million, one hundred fourteen thousand, five hundred forty-one".