1029865516361 has 32 divisors (see below), whose sum is σ = 1183843123200. Its totient is φ = 887650246080.

The previous prime is 1029865516357. The next prime is 1029865516367. The reversal of 1029865516361 is 1636155689201.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1029865516361 - 2² = 1029865516357 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1029865516367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1926800 + ... + 2402558.

It is an arithmetic number, because the mean of its divisors is an integer number (36995097600).

Almost surely, 2^{1029865516361} is an apocalyptic number.

1029865516361 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1029865516361 is a deficient number, since it is larger than the sum of its proper divisors (153977606839).

1029865516361 is a wasteful number, since it uses less digits than its factorization.

1029865516361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475949.

The product of its (nonzero) digits is 2332800, while the sum is 53.

The spelling of 1029865516361 in words is "one trillion, twenty-nine billion, eight hundred sixty-five million, five hundred sixteen thousand, three hundred sixty-one".