1505052052353 has 6 divisors (see below), whose sum is σ = 2173964075634. Its totient is φ = 1003368034896.

The previous prime is 1505052052351. The next prime is 1505052052379. The reversal of 1505052052353 is 3532502505051.

1505052052353 is a `hidden beast` number, since 1 + 5 + 0 + 50 + 520 + 52 + 35 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1462123527489 + 42928524864 = 1209183^2 + 207192^2 .

It is not a de Polignac number, because 1505052052353 - 2¹ = 1505052052351 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1505052052351) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 83614002900 + ... + 83614002917.

It is an arithmetic number, because the mean of its divisors is an integer number (362327345939).

Almost surely, 2^{1505052052353} is an apocalyptic number.

It is an amenable number.

1505052052353 is a deficient number, since it is larger than the sum of its proper divisors (668912023281).

1505052052353 is a wasteful number, since it uses less digits than its factorization.

1505052052353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167228005823 (or 167228005820 counting only the distinct ones).

The product of its (nonzero) digits is 112500, while the sum is 36.

The spelling of 1505052052353 in words is "one trillion, five hundred five billion, fifty-two million, fifty-two thousand, three hundred fifty-three".