1035540761 has 2 divisors, whose sum is σ = 1035540762. Its totient is φ = 1035540760.

The previous prime is 1035540713. The next prime is 1035540763. The reversal of 1035540761 is 1670455301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 811110400 + 224430361 = 28480^2 + 14981^2 .

It is an emirp because it is prime and its reverse (1670455301) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1035540761 - 2¹⁸ = 1035278617 is a prime.

It is a super-3 number, since 3×1035540761³ (a number of 28 digits) contains 333 as substring.

Together with 1035540763, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1035540763) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 517770380 + 517770381.

It is an arithmetic number, because the mean of its divisors is an integer number (517770381).

Almost surely, 2^1035540761 is an apocalyptic number.

It is an amenable number.

1035540761 is a deficient number, since it is larger than the sum of its proper divisors (1).

1035540761 is an equidigital number, since it uses as much as digits as its factorization.

1035540761 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12600, while the sum is 32.

The square root of 1035540761 is about 32179.8191573539. The cubic root of 1035540761 is about 1011.7092780000.

It can be divided in two parts, 1035540 and 761, that added together give a palindrome (1036301).

The spelling of 1035540761 in words is "one billion, thirty-five million, five hundred forty thousand, seven hundred sixty-one".