1032461242201 has 9 divisors (see below), whose sum is σ = 1089681686901. Its totient is φ = 978102887004.

The previous prime is 1032461242193. The next prime is 1032461242249. The reversal of 1032461242201 is 1022421642301.

The square root of 1032461242201 is 1016101.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 1032461242201 - 2³ = 1032461242193 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1032461242201.

It is not an unprimeable number, because it can be changed into a prime (1032461242261) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 19279180 + ... + 19332658.

It is an arithmetic number, because the mean of its divisors is an integer number (121075742989).

Almost surely, 2^{1032461242201} is an apocalyptic number.

1032461242201 is the 1016101-st square number.

1032461242201 is the 508051-st centered octagonal number.

It is an amenable number.

1032461242201 is a deficient number, since it is larger than the sum of its proper divisors (57220444700).

1032461242201 is an frugal number, since it uses more digits than its factorization.

1032461242201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106996 (or 53498 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 1032461242201 its reverse (1022421642301), we get a palindrome (2054882884502).

The spelling of 1032461242201 in words is "one trillion, thirty-two billion, four hundred sixty-one million, two hundred forty-two thousand, two hundred one".