1016205961 has 4 divisors (see below), whose sum is σ = 1016347924. Its totient is φ = 1016064000.

The previous prime is 1016205959. The next prime is 1016205997. The reversal of 1016205961 is 1695026101.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 1695026101 = 23 ⋅73696787.

It can be written as a sum of positive squares in 2 ways, for example, as 416935561 + 599270400 = 20419^2 + 24480^2 .

It is a 4-Lehmer number, since φ(1016205961) divides (1016205961-1)⁴.

It is a cyclic number.

It is not a de Polignac number, because 1016205961 - 2¹ = 1016205959 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1016205061) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 59640 + ... + 74761.

It is an arithmetic number, because the mean of its divisors is an integer number (254086981).

Almost surely, 2^1016205961 is an apocalyptic number.

1016205961 is the 17040-th centered heptagonal number.

It is an amenable number.

1016205961 is a deficient number, since it is larger than the sum of its proper divisors (141963).

1016205961 is an equidigital number, since it uses as much as digits as its factorization.

1016205961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141962.

The product of its (nonzero) digits is 3240, while the sum is 31.

The square root of 1016205961 is about 31877.9855229279. The cubic root of 1016205961 is about 1005.3730654611.

The spelling of 1016205961 in words is "one billion, sixteen million, two hundred five thousand, nine hundred sixty-one".