61500101 has 16 divisors (see below), whose sum is σ = 70399728. Its totient is φ = 53222400.

The previous prime is 61500083. The next prime is 61500107. The reversal of 61500101 is 10100516.

It can be written as a sum of positive squares in 8 ways, for example, as 3724900 + 57775201 = 1930^2 + 7601^2 .

It is a cyclic number.

It is not a de Polignac number, because 61500101 - 2¹⁴ = 61483717 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61500107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92711 + ... + 93371.

It is an arithmetic number, because the mean of its divisors is an integer number (4399983).

Almost surely, 2^61500101 is an apocalyptic number.

It is an amenable number.

61500101 is a deficient number, since it is larger than the sum of its proper divisors (8899627).

61500101 is a wasteful number, since it uses less digits than its factorization.

61500101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112.

The product of its (nonzero) digits is 30, while the sum is 14.

The square root of 61500101 is about 7842.2000102012. The cubic root of 61500101 is about 394.7225547294.

Adding to 61500101 its reverse (10100516), we get a palindrome (71600617).

The spelling of 61500101 in words is "sixty-one million, five hundred thousand, one hundred one".