1540541031 has 32 divisors (see below), whose sum is σ = 2134863360. Its totient is φ = 987638400.

The previous prime is 1540541029. The next prime is 1540541053. The reversal of 1540541031 is 1301450451.

It is a happy number.

It is not a de Polignac number, because 1540541031 - 2¹ = 1540541029 is a prime.

It is a super-2 number, since 2×1540541031² = 4746533336389085922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1540540992 and 1540541010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1540543031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1805601 + ... + 1806453.

It is an arithmetic number, because the mean of its divisors is an integer number (66714480).

Almost surely, 2^1540541031 is an apocalyptic number.

1540541031 is a deficient number, since it is larger than the sum of its proper divisors (594322329).

1540541031 is a wasteful number, since it uses less digits than its factorization.

1540541031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127.

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 1540541031 is about 39249.7265086013. The cubic root of 1540541031 is about 1154.9355688276.

Adding to 1540541031 its reverse (1301450451), we get a palindrome (2841991482).

The spelling of 1540541031 in words is "one billion, five hundred forty million, five hundred forty-one thousand, thirty-one".