2010072561 has 48 divisors (see below), whose sum is σ = 3191095296. Its totient is φ = 1121861664.

The previous prime is 2010072527. The next prime is 2010072569. The reversal of 2010072561 is 1652700102.

It is not a de Polignac number, because 2010072561 - 2¹⁴ = 2010056177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2010072569) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1250020 + ... + 1251626.

It is an arithmetic number, because the mean of its divisors is an integer number (66481152).

Almost surely, 2^2010072561 is an apocalyptic number.

2010072561 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2010072561 is a deficient number, since it is larger than the sum of its proper divisors (1181022735).

2010072561 is a wasteful number, since it uses less digits than its factorization.

2010072561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1818 (or 1811 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 2010072561 is about 44833.8327716915. The cubic root of 2010072561 is about 1262.0326143136.

Adding to 2010072561 its reverse (1652700102), we get a palindrome (3662772663).

It can be divided in two parts, 20100 and 72561, that multiplied together give a square (1458476100 = 38190²).

The spelling of 2010072561 in words is "two billion, ten million, seventy-two thousand, five hundred sixty-one".