1006735573455 has 48 divisors (see below), whose sum is σ = 1711369250304. Its totient is φ = 505262891520.

The previous prime is 1006735573423. The next prime is 1006735573517. The reversal of 1006735573455 is 5543755376001.

It is not a de Polignac number, because 1006735573455 - 2⁵ = 1006735573423 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 1006735573398 and 1006735573407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36014214 + ... + 36042156.

It is an arithmetic number, because the mean of its divisors is an integer number (35653526048).

Almost surely, 2^{1006735573455} is an apocalyptic number.

1006735573455 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1006735573455 is a deficient number, since it is larger than the sum of its proper divisors (704633676849).

1006735573455 is a wasteful number, since it uses less digits than its factorization.

1006735573455 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36296 (or 36279 counting only the distinct ones).

The product of its (nonzero) digits is 6615000, while the sum is 51.

The spelling of 1006735573455 in words is "one trillion, six billion, seven hundred thirty-five million, five hundred seventy-three thousand, four hundred fifty-five".