1014100541 has 8 divisors (see below), whose sum is σ = 1074724920. Its totient is φ = 953584128.

The previous prime is 1014100537. The next prime is 1014100553. The reversal of 1014100541 is 1450014101.

It can be written as a sum of positive squares in 4 ways, for example, as 5784025 + 1008316516 = 2405^2 + 31754^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1014100541 - 2² = 1014100537 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1014100501) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7226 + ... + 45611.

It is an arithmetic number, because the mean of its divisors is an integer number (134340615).

Almost surely, 2^1014100541 is an apocalyptic number.

It is an amenable number.

1014100541 is a deficient number, since it is larger than the sum of its proper divisors (60624379).

1014100541 is a wasteful number, since it uses less digits than its factorization.

1014100541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53983.

The product of its (nonzero) digits is 80, while the sum is 17.

The square root of 1014100541 is about 31844.9452974880. The cubic root of 1014100541 is about 1004.6782600862.

Adding to 1014100541 its reverse (1450014101), we get a palindrome (2464114642).

The spelling of 1014100541 in words is "one billion, fourteen million, one hundred thousand, five hundred forty-one".